How to update a prediction interval based on realized value?












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I'm using a 95% prediction interval for a poisson regression model. For example, my poisson model gives me a number of errors in a certain spatial area and a prediction interval for the number of errors in that area might be [0, 4] based on my poisson model.



I'm interested to see if there is a way to update this interval based on a partial search of that spatial area and a realization of some number of errors. For example, if after searching half of the spatial area, I find only 1 error, is there a way to update the prediction interval of [0, 4] based on some statistical theory or background?



Would appreciate any thoughts. Thank you










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    0












    $begingroup$


    I'm using a 95% prediction interval for a poisson regression model. For example, my poisson model gives me a number of errors in a certain spatial area and a prediction interval for the number of errors in that area might be [0, 4] based on my poisson model.



    I'm interested to see if there is a way to update this interval based on a partial search of that spatial area and a realization of some number of errors. For example, if after searching half of the spatial area, I find only 1 error, is there a way to update the prediction interval of [0, 4] based on some statistical theory or background?



    Would appreciate any thoughts. Thank you










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I'm using a 95% prediction interval for a poisson regression model. For example, my poisson model gives me a number of errors in a certain spatial area and a prediction interval for the number of errors in that area might be [0, 4] based on my poisson model.



      I'm interested to see if there is a way to update this interval based on a partial search of that spatial area and a realization of some number of errors. For example, if after searching half of the spatial area, I find only 1 error, is there a way to update the prediction interval of [0, 4] based on some statistical theory or background?



      Would appreciate any thoughts. Thank you










      share|cite|improve this question









      $endgroup$




      I'm using a 95% prediction interval for a poisson regression model. For example, my poisson model gives me a number of errors in a certain spatial area and a prediction interval for the number of errors in that area might be [0, 4] based on my poisson model.



      I'm interested to see if there is a way to update this interval based on a partial search of that spatial area and a realization of some number of errors. For example, if after searching half of the spatial area, I find only 1 error, is there a way to update the prediction interval of [0, 4] based on some statistical theory or background?



      Would appreciate any thoughts. Thank you







      statistics






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 9 at 1:37









      KshMnyKshMny

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