In this paper, the problem of estimation parameters and prediction order statistics from a future sample based on upper k-record values arising two parameter Weibull distribution is considered. The maximum likelihood estimators Bayes are obtained observed values. Bayesian point predictors its two-sided equi-tailed intervals also derived. Finally, numerical illustration considered for exemplifyi...

Abstract We consider the standard and k th record values arising in sequences of independent identically distributed continuous positive random variables with finite expectations. determine necessary sufficient conditions on type , its number n moment order r so that value is for every parent distribution. Under we present optimal upper bounds these moments expressed scale units being respectiv...

This paper investigates the probability density function (pdf) of \((2n-1)\)-vector \((n\geq 1)\) both lower and upper record values for a sequence independent random variables with common \textit{pdf} \(f\) defined on same space, provided that times are finite up to \(n\). A lot is known about or when they studied separately. When put together, challenges far complicated. The rare results in l...

In this paper we investigate the Burr distributions family which contains twelve members. Second order expansions of quantiles Burr’s are provided on may be based statistical methods, in particular extreme value theory. Beyond proper interest these expansions, apply them to characterize asymptotic laws their records distributions, lead new tests.

Abstract In this paper, the marginal distributions of concomitants k -record values based on Sarmanov family bivariate are obtained, as an extension several recent papers. Besides, we derive joint distribution for family. Furthermore, some new and useful properties information measures, namely, extropy, Shannon entropy, inaccuracy measure, cumulative residual Fisher studied. Finally, offered va...