Displaying similar documents to “The shortest randomized confidence interval for probability of success in a negative binomial model”

The shortest confidence interval for the probability of success in a negative binomial model

Wojciech Zieliński (2012)

Applicationes Mathematicae

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The existence of the shortest confidence interval for the probability of success in a negative binomial distribution is shown. The method of obtaining such an interval is presented as well. The interval obtained is compared with the Clopper-Pearson shortest confidence interval for the probability in the binomial model.

Random split of the interval [0,1]

B. Kopociński (2004)

Applicationes Mathematicae

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We define two splitting procedures of the interval [0,1], one using uniformly distributed points on the chosen piece and the other splitting a piece in half. We also define two procedures for choosing the piece to be split; one chooses a piece with a probability proportional to its length and the other chooses each piece with equal probability. We analyse the probability distribution of the lengths of the pieces arising from these procedures.

On distribution of waiting time for the first failure followed by a limited length success run

Czesław Stępniak (2013)

Applicationes Mathematicae

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Many doctors believe that a patient will survive a heart attack unless a succeeding attack occurs in a week. Treating heart attacks as failures in Bernoulli trials we reduce the lifetime after a heart attack to the waiting time for the first failure followed by a success run shorter than a given k. In order to test the "true" critical period of the lifetime we need its distribution. The probability mass function and cumulative distribution function of the waiting time are expressed in...

Bolshev's method of confidence limit construction.

Vacys Bagdonavicius, Valentina Nikoulina, Mikhail Nikulin (1997)

Qüestiió

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Confidence intervals and regions for the parameters of a distribution are constructed, following the method due to L. N. Bolshev. This construction method is illustrated with Poisson, exponential, Bernouilli, geometric, normal and other distributions depending on parameters.

Conditional Confidence Interval for the Scale Parameter of a Weibull Distribution

Mahdi, Smail (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 62F25, 62F03. A two-sided conditional confidence interval for the scale parameter θ of a Weibull distribution is constructed. The construction follows the rejection of a preliminary test for the null hypothesis: θ = θ0 where θ0 is a given value. The confidence bounds are derived according to the method set forth by Meeks and D’Agostino (1983) and subsequently used by Arabatzis et al. (1989) in Gaussian models and more recently by Chiou...

On the Behrens-Fisher distribution and its generalization to the pairwise comparisons

Viktor Witkovský (2002)

Discussiones Mathematicae Probability and Statistics

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Weerahandi (1995b) suggested a generalization of the Fisher's solution of the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized p-values. In this paper, we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the p-values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé...