Bootstrap Confidence Interval for Parameter ‘p’ of Truncated Negative Binomial Distribution

Muhammad Ibrahim Shamsi, Ghulam Hussain


Abstract: In formula based inferential statistics, many problems deal with the estimation of unknown parameters. This paper considers interval estimation. Two bootstrap confidence intervals for the parameter ‘p’ of an unknown population are discussed. They are obtained by the residual bootstrap and the two-stage wild bootstrap method. The results are illustrated with an example in which the investigated variable has the Truncated Negative Binomial distribution. We do not have to know the population distribution for determining the bootstrap confidence intervals for the parameters. This is the great advantage of bootstrap methods. The authors have developed a computer program that computes confidence limits using the procedure in this paper

Keywords : Residual Bootstrap, Wild Bootstrap, Confidence Interval, Truncated Negative Binomial Distribution.

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