A Note On the Estimation of the Poisson Parameter
This paper considers the problem of estimating the mean of a Poisson distribution when there are errors in observing the zeros and ones and obtains both the maximum likelihood and moments estimates of the Poisson mean and the error probabilities. It is interesting to note that either method fails to...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000205 |
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| _version_ | 1832552360519401472 |
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| author | S. S. Chitgopekar |
| author_facet | S. S. Chitgopekar |
| author_sort | S. S. Chitgopekar |
| collection | DOAJ |
| description | This paper considers the problem of estimating the mean of a Poisson
distribution when there are errors in observing the zeros and ones and obtains both the maximum likelihood and moments estimates of the Poisson mean and the error probabilities. It is interesting to note that either method fails to give unique estimates of these parameters unless the error probabilities are functionally related. However, it is equally interesting to observe that the estimate of the Poisson mean does not depend on the functional relationship between the error probabilities. |
| format | Article |
| id | doaj-art-6357f77ddff542f7a4eea85d2e5e9f77 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6357f77ddff542f7a4eea85d2e5e9f772025-02-03T05:58:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018119319610.1155/S0161171285000205A Note On the Estimation of the Poisson ParameterS. S. Chitgopekar0Department of Management and Marketing, Illinois State University, Normal, Illinois 61761, USAThis paper considers the problem of estimating the mean of a Poisson distribution when there are errors in observing the zeros and ones and obtains both the maximum likelihood and moments estimates of the Poisson mean and the error probabilities. It is interesting to note that either method fails to give unique estimates of these parameters unless the error probabilities are functionally related. However, it is equally interesting to observe that the estimate of the Poisson mean does not depend on the functional relationship between the error probabilities.http://dx.doi.org/10.1155/S0161171285000205Poisson distributionestimationobservation errors. |
| spellingShingle | S. S. Chitgopekar A Note On the Estimation of the Poisson Parameter International Journal of Mathematics and Mathematical Sciences Poisson distribution estimation observation errors. |
| title | A Note On the Estimation of the Poisson Parameter |
| title_full | A Note On the Estimation of the Poisson Parameter |
| title_fullStr | A Note On the Estimation of the Poisson Parameter |
| title_full_unstemmed | A Note On the Estimation of the Poisson Parameter |
| title_short | A Note On the Estimation of the Poisson Parameter |
| title_sort | note on the estimation of the poisson parameter |
| topic | Poisson distribution estimation observation errors. |
| url | http://dx.doi.org/10.1155/S0161171285000205 |
| work_keys_str_mv | AT sschitgopekar anoteontheestimationofthepoissonparameter AT sschitgopekar noteontheestimationofthepoissonparameter |