Confidence intervals for the parameter of Poisson distribution in presence of background
نویسنده
چکیده
A numerical procedure is developed for construction of confidence intervals for parameter of Poisson distribution for signal in the presence of background which has Poisson distribution with known value of parameter.
منابع مشابه
Exact maximum coverage probabilities of confidence intervals with increasing bounds for Poisson distribution mean
A Poisson distribution is well used as a standard model for analyzing count data. So the Poisson distribution parameter estimation is widely applied in practice. Providing accurate confidence intervals for the discrete distribution parameters is very difficult. So far, many asymptotic confidence intervals for the mean of Poisson distribution is provided. It is known that the coverag...
متن کاملMonte Carlo Comparison of Approximate Tolerance Intervals for the Poisson Distribution
The problem of finding tolerance intervals receives very much attention of researchers and are widely used in various statistical fields, including biometry, economics, reliability analysis and quality control. Tolerance interval is a random interval that covers a specified proportion of the population with a specified confidence level. In this paper, we compare approximate tolerance interva...
متن کامل0 Confidence intervals for the parameter of Poisson distribution in presence of background
In paper [1] the unified approach to the construction of confidence intervals and confidence limits for a signal with a background presence, in particular for Poisson distributions, has been proposed. The method is widely used for the presentation of physical results [2] though a number of investigators criticize this approach [3] In present paper we propose a simple method for construction of ...
متن کاملBootstrap confidence intervals of CNpk for type‑II generalized log‑logistic distribution
This paper deals with construction of confidence intervals for process capability index using bootstrap method (proposed by Chen and Pearn in Qual Reliab Eng Int 13(6):355–360, 1997) by applying simulation technique. It is assumed that the quality characteristic follows type-II generalized log-logistic distribution introduced by Rosaiah et al. in Int J Agric Stat Sci 4(2):283–292, (2008). Discu...
متن کاملInference on Pr(X > Y ) Based on Record Values From the Power Hazard Rate Distribution
In this article, we consider the problem of estimating the stress-strength reliability $Pr (X > Y)$ based on upper record values when $X$ and $Y$ are two independent but not identically distributed random variables from the power hazard rate distribution with common scale parameter $k$. When the parameter $k$ is known, the maximum likelihood estimator (MLE), the approximate Bayes estimator and ...
متن کامل