Research & Reviews : Journal of Statistics
Volume 2, Issue 1 (2013)
Published
Table of contents
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An Exact Kolmogorov–Smirnov Test for the Negative Binomial Distribution with Unknown Probability of Success
Abstract: AbstractIn this paper, we develop an exact Kolmogorov–Smirnov goodness-of-fit test in the case of negative binomial distribution with an unknown probability of success. This test is conditional, with the test statistic being the maximum absolute difference between the empirical distribution function and its conditional expectation given the sample total. The results are not asymptotic, but exact. We illustrate the test with three examples in case the size parameter equals one …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 1–13 Read article
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Job Sequencing with Fuzzy Processing Times using Credibility Theory
Abstract: AbstractIn this paper, a new algorithm to find an optimal sequence of ‘ n ’ jobs that has to be processed through ‘m ’ machines is developed by treating the processing times of jobs on the machines as fuzzy (imprecise) variables. The algorithm is similar to that of Johnson (1954) which considers the processing times as precise in nature. The proposed algorithm makes use of the concepts of ‘Credibility Theory’ …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 14–19 Read article
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Weibull Mixture of Some Sampling Distributions
Abstract: AbstractThe Weibull distribution is extensively used in engineering sectors and biostatisticalfields. In this article, we have proposed the Weibull mixture of some samplingdistributions in which the weight functions are assumed to be chi-square, t andF sampling distributions. Different properties of these proposed distributions have been derived in this paper. The estimators of the parameters of these models using method of moments have also been provided.Keywords and Phrases: mixture distribution, Weibull …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 20–25 Read article