in this paper, an extension of record models, well known as k-records, is considered. bayesian estimation as well as prediction based on k-records are presented when the underlying distribution is assumed to have a general form. the proposed procedure is applied to the exponential, weibull and pareto models in one parameter case. also, the two-parameter exponential distribution, when both param...

In this study we, give some new explicit expressions and recurrence relations satisfied by marginal and joint moment generating functions of k−th upper record values from extended type II generalized logistic distribution. Next we show that results for upper record values of this distribution can be derived from our result as special cases. Further, a characterizing result of this distribution ...

The effect of the length of record on the standardized precipitation index (SPI) calculation was investigated by examining correlation coefficients, the index of agreement, and the consistency of dry/wet event categories between SPI values derived from different precipitation record lengths. The effect was also illustrated by comparing SPI values derived from different lengths of record in some...

in this paper, we study the estimation problems for the two-parameter exponentiated gumbel distribution based on lower record values. an exact confidence interval and an exact joint confidence region for the parameters are constructed. a simulation study is conducted to study the performance of the proposed confidence interval and region. finally, a numerical example with real data set is given...

We characterize the exponential distribution in terms of the regression of a record value with two non-adjacent record values as covariates. We also study characterizations based on the regression of linear combinations of record values. AMS (2000) Subject Classification. 62G30, 62E10.