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Interval estimation of quantile difference in the two-parameter exponential distributions
(
ASTM International
, 2018 , Article)
We consider the interval estimation of the difference between the quantiles of two random variables with independent two-parameter exponential distributions based on Type II censored data. We derive asymptotic intervals ...
Estimation of common location parameter of two exponential populations based on records
(
Taylor and Francis Inc.
, 2018 , Article)
Consider the problem of estimating the common location parameter of two exponential populations using record data when the scale parameters are unknown. We derive the maximum likelihood estimator (MLE), the modified maximum ...
Approximating the tail probabilities of the longest run in a sequence of Bernoulli trials
(
Taylor and Francis Ltd.
, 2018 , Article)
We consider the longest run of either successes or failures in a sequence of (Formula presented.) Bernoulli trials. The exact distribution of this random variable is obtained using probability generating function techniques. ...