dorsal/arxiv
View SchemaOn the Confidence Interval for the parameter of Poisson Distribution
| Authors | S. I. Bityukov, N. V. Krasnikov, V. A. Taperechkina |
|---|---|
| Categories | |
| ArXiv ID | physics/0008082 |
| URL | https://arxiv.org/abs/physics/0008082 |
Abstract
The possibility of construction of continuous analogue of Poisson distribution with the search of bounds of confidence intervals for parameter of Poisson distribution is discussed. Also, in the article is shown that the true value of a parameter of Poisson distribution for the observed value $\hat x$ has Gamma distribution with the scale parameter, which is equal to one, and the shape parameter, which is equal to $\hat x$. The results of numerical construction of confidence intervals are presented.
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"abstract": "The possibility of construction of continuous analogue of Poisson\ndistribution with the search of bounds of confidence intervals for parameter of\nPoisson distribution is discussed. Also, in the article is shown that the true\nvalue of a parameter of Poisson distribution for the observed value $\\hat x$\nhas Gamma distribution with the scale parameter, which is equal to one, and the\nshape parameter, which is equal to $\\hat x$. The results of numerical\nconstruction of confidence intervals are presented.",
"arxiv_id": "physics/0008082",
"authors": [
"S. I. Bityukov",
"N. V. Krasnikov",
"V. A. Taperechkina"
],
"categories": [
"physics.data-an"
],
"title": "On the Confidence Interval for the parameter of Poisson Distribution",
"url": "https://arxiv.org/abs/physics/0008082"
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