Mixing
A good book for Probability?
$begingroup$
I am doing my research in Functional Analysis, especially in "Generalized inverse of Linear Maps".
I have come across Probability by studying only the methods or Distributions(like Binomial, poisson, normal,etc)
Now I wish to study the mathematical background and intuitive way of looking on it.
Can you suggest some probability text book which explains,
$bullet$ Geometrical ideas of the Probability Distributions. May be using diagrams, graphs, etc.
$bullet$ Proofs for the distribution functions.
$bullet$ Problems with natural solutions and then generalizations
Like, for a binomial distribution(how they are giving the probability mass function).
probability-theory book-recommendation
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
$endgroup$
add a comment |
$begingroup$
I am doing my research in Functional Analysis, especially in "Generalized inverse of Linear Maps".
I have come across Probability by studying only the methods or Distributions(like Binomial, poisson, normal,etc)
Now I wish to study the mathematical background and intuitive way of looking on it.
Can you suggest some probability text book which explains,
$bullet$ Geometrical ideas of the Probability Distributions. May be using diagrams, graphs, etc.
$bullet$ Proofs for the distribution functions.
$bullet$ Problems with natural solutions and then generalizations
Like, for a binomial distribution(how they are giving the probability mass function).
probability-theory book-recommendation
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
$endgroup$
1
$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47
add a comment |
$begingroup$
I am doing my research in Functional Analysis, especially in "Generalized inverse of Linear Maps".
I have come across Probability by studying only the methods or Distributions(like Binomial, poisson, normal,etc)
Now I wish to study the mathematical background and intuitive way of looking on it.
Can you suggest some probability text book which explains,
$bullet$ Geometrical ideas of the Probability Distributions. May be using diagrams, graphs, etc.
$bullet$ Proofs for the distribution functions.
$bullet$ Problems with natural solutions and then generalizations
Like, for a binomial distribution(how they are giving the probability mass function).
probability-theory book-recommendation
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
$endgroup$
I am doing my research in Functional Analysis, especially in "Generalized inverse of Linear Maps".
I have come across Probability by studying only the methods or Distributions(like Binomial, poisson, normal,etc)
Now I wish to study the mathematical background and intuitive way of looking on it.
Can you suggest some probability text book which explains,
$bullet$ Geometrical ideas of the Probability Distributions. May be using diagrams, graphs, etc.
$bullet$ Proofs for the distribution functions.
$bullet$ Problems with natural solutions and then generalizations
Like, for a binomial distribution(how they are giving the probability mass function).
probability-theory book-recommendation
probability-theory book-recommendation
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
edited Nov 6 '15 at 9:46
Jean-Claude Arbaut
14.9k63464
14.9k63464
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
asked Nov 6 '15 at 9:42
DavidDavid
2,22711131
2,22711131
1
$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47
add a comment |
1
$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47
1
1
$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47
$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
I would highly recommend A First Course in Probability by Sheldon Ross.
From the hyperlinked Amazon page:
A First Course in Probability features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
I am recommending this book because I think it is suitable for self-study, as it is listed as a textbook for the Society of Actuaries' Exam P.
You can also try checking out the following books:
Mathematical Statistics with Applications by Dennis Wackerly, William Mendenhall and Richard L. Scheaffer
Probability and Statistical Inference by Robert V. Hogg, Elliot Tanis and Dale Zimmerman
Probability and Statistics with Applications: A Problem Solving Text by Leonard A. Asimow and Mark M. Maxwell
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
$endgroup$
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
add a comment |
$begingroup$
I think your best bet would be "Probability And Random Processes" by Grimmett and Stirzacker, see http://www.amazon.co.uk/Probability-Random-Processes-Geoffrey-Grimmett/dp/0198572220. It provides a concise yet introductory treatment of probability theory, free of measure theory. The latter chapters may not be of use to you but the earlier chapters should be. This would be the quickest way to get the basics.
I would also recommend, "A Course in Probability Theory" by Chung, http://www.amazon.co.uk/Course-Probability-Theory-Third-Edition/dp/0121741516, its a more rigorous treatment than others mentioned so far. If you are researching functional analysis, this should be quite accessible to you.
I would not recommend Ross' book at is it too elementary, too slow and not suitable for a postgraduate. It is aimed at first year mathematics students, many of whom are making the transition from high school. The only reason it is recommended is because when people who did one course in probability as a undergrad, this is the text that would have been recommended.
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
$endgroup$
add a comment |
Your Answer
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I would highly recommend A First Course in Probability by Sheldon Ross.
From the hyperlinked Amazon page:
A First Course in Probability features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
I am recommending this book because I think it is suitable for self-study, as it is listed as a textbook for the Society of Actuaries' Exam P.
You can also try checking out the following books:
Mathematical Statistics with Applications by Dennis Wackerly, William Mendenhall and Richard L. Scheaffer
Probability and Statistical Inference by Robert V. Hogg, Elliot Tanis and Dale Zimmerman
Probability and Statistics with Applications: A Problem Solving Text by Leonard A. Asimow and Mark M. Maxwell
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
$endgroup$
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
add a comment |
$begingroup$
I would highly recommend A First Course in Probability by Sheldon Ross.
From the hyperlinked Amazon page:
A First Course in Probability features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
I am recommending this book because I think it is suitable for self-study, as it is listed as a textbook for the Society of Actuaries' Exam P.
You can also try checking out the following books:
Mathematical Statistics with Applications by Dennis Wackerly, William Mendenhall and Richard L. Scheaffer
Probability and Statistical Inference by Robert V. Hogg, Elliot Tanis and Dale Zimmerman
Probability and Statistics with Applications: A Problem Solving Text by Leonard A. Asimow and Mark M. Maxwell
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
$endgroup$
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
add a comment |
$begingroup$
I would highly recommend A First Course in Probability by Sheldon Ross.
From the hyperlinked Amazon page:
A First Course in Probability features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
I am recommending this book because I think it is suitable for self-study, as it is listed as a textbook for the Society of Actuaries' Exam P.
You can also try checking out the following books:
Mathematical Statistics with Applications by Dennis Wackerly, William Mendenhall and Richard L. Scheaffer
Probability and Statistical Inference by Robert V. Hogg, Elliot Tanis and Dale Zimmerman
Probability and Statistics with Applications: A Problem Solving Text by Leonard A. Asimow and Mark M. Maxwell
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
$endgroup$
I would highly recommend A First Course in Probability by Sheldon Ross.
From the hyperlinked Amazon page:
A First Course in Probability features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
I am recommending this book because I think it is suitable for self-study, as it is listed as a textbook for the Society of Actuaries' Exam P.
You can also try checking out the following books:
Mathematical Statistics with Applications by Dennis Wackerly, William Mendenhall and Richard L. Scheaffer
Probability and Statistical Inference by Robert V. Hogg, Elliot Tanis and Dale Zimmerman
Probability and Statistics with Applications: A Problem Solving Text by Leonard A. Asimow and Mark M. Maxwell
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
edited Nov 6 '15 at 10:55
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
answered Nov 6 '15 at 9:48
Jose Arnaldo Bebita DrisJose Arnaldo Bebita Dris
5,51741945
5,51741945
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
add a comment |
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
1
1
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
$begingroup$
Why would you? Compared to which other options? How relevant to the list of three items in the question? Unless you answer these, the answer sounds like "This is a book I know, and I liked it".
$endgroup$
– Did
Nov 6 '15 at 10:11
1
1
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
$begingroup$
@Did, if you'd just scroll through the bottom of the hyperlinked page, you would see some reviews from other readers. Additionally, this book is listed as a textbook for the Society of Actuaries' Exam P, and is thus suitable for self-study. These being said, thank you for your comment.
$endgroup$
– Jose Arnaldo Bebita Dris
Nov 6 '15 at 10:17
2
2
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
$begingroup$
But I do not want to scroll through the bottom of any page to understand your answer. In fact one should never need to fetch information on other sites to understand an answer posted here. To make this post a good answer, you might want to synthetize the facts which make you believe this book has good chances to fulfill the OP's requirements and to include this synthesis in your answer. (Be warned though that, AFAIAC, the two points you raise in your comment do not go in this direction.)
$endgroup$
– Did
Nov 6 '15 at 10:23
add a comment |
$begingroup$
I think your best bet would be "Probability And Random Processes" by Grimmett and Stirzacker, see http://www.amazon.co.uk/Probability-Random-Processes-Geoffrey-Grimmett/dp/0198572220. It provides a concise yet introductory treatment of probability theory, free of measure theory. The latter chapters may not be of use to you but the earlier chapters should be. This would be the quickest way to get the basics.
I would also recommend, "A Course in Probability Theory" by Chung, http://www.amazon.co.uk/Course-Probability-Theory-Third-Edition/dp/0121741516, its a more rigorous treatment than others mentioned so far. If you are researching functional analysis, this should be quite accessible to you.
I would not recommend Ross' book at is it too elementary, too slow and not suitable for a postgraduate. It is aimed at first year mathematics students, many of whom are making the transition from high school. The only reason it is recommended is because when people who did one course in probability as a undergrad, this is the text that would have been recommended.
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
$endgroup$
add a comment |
$begingroup$
I think your best bet would be "Probability And Random Processes" by Grimmett and Stirzacker, see http://www.amazon.co.uk/Probability-Random-Processes-Geoffrey-Grimmett/dp/0198572220. It provides a concise yet introductory treatment of probability theory, free of measure theory. The latter chapters may not be of use to you but the earlier chapters should be. This would be the quickest way to get the basics.
I would also recommend, "A Course in Probability Theory" by Chung, http://www.amazon.co.uk/Course-Probability-Theory-Third-Edition/dp/0121741516, its a more rigorous treatment than others mentioned so far. If you are researching functional analysis, this should be quite accessible to you.
I would not recommend Ross' book at is it too elementary, too slow and not suitable for a postgraduate. It is aimed at first year mathematics students, many of whom are making the transition from high school. The only reason it is recommended is because when people who did one course in probability as a undergrad, this is the text that would have been recommended.
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
$endgroup$
add a comment |
$begingroup$
I think your best bet would be "Probability And Random Processes" by Grimmett and Stirzacker, see http://www.amazon.co.uk/Probability-Random-Processes-Geoffrey-Grimmett/dp/0198572220. It provides a concise yet introductory treatment of probability theory, free of measure theory. The latter chapters may not be of use to you but the earlier chapters should be. This would be the quickest way to get the basics.
I would also recommend, "A Course in Probability Theory" by Chung, http://www.amazon.co.uk/Course-Probability-Theory-Third-Edition/dp/0121741516, its a more rigorous treatment than others mentioned so far. If you are researching functional analysis, this should be quite accessible to you.
I would not recommend Ross' book at is it too elementary, too slow and not suitable for a postgraduate. It is aimed at first year mathematics students, many of whom are making the transition from high school. The only reason it is recommended is because when people who did one course in probability as a undergrad, this is the text that would have been recommended.
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
$endgroup$
I think your best bet would be "Probability And Random Processes" by Grimmett and Stirzacker, see http://www.amazon.co.uk/Probability-Random-Processes-Geoffrey-Grimmett/dp/0198572220. It provides a concise yet introductory treatment of probability theory, free of measure theory. The latter chapters may not be of use to you but the earlier chapters should be. This would be the quickest way to get the basics.
I would also recommend, "A Course in Probability Theory" by Chung, http://www.amazon.co.uk/Course-Probability-Theory-Third-Edition/dp/0121741516, its a more rigorous treatment than others mentioned so far. If you are researching functional analysis, this should be quite accessible to you.
I would not recommend Ross' book at is it too elementary, too slow and not suitable for a postgraduate. It is aimed at first year mathematics students, many of whom are making the transition from high school. The only reason it is recommended is because when people who did one course in probability as a undergrad, this is the text that would have been recommended.
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
answered Jan 1 '16 at 13:42
PermianPermian
2,2781135
2,2781135
add a comment |
add a comment |
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$begingroup$
See math.stackexchange.com/questions/156165/… and math.stackexchange.com/questions/329535/…
$endgroup$
– Jean-Claude Arbaut
Nov 6 '15 at 9:47