In this article, we consider the problem of estimating the stress-strength reliability $Pr (X > Y)$ based on upper record values when $X$ and $Y$ are two independent but not identically distributed random variables from the power hazard rate distribution with common scale parameter $k$. When the parameter $k$ is known, the maximum likelihood estimator (MLE), the approximate Bayes estimator and ...

Let {Ri; i ≥ 1} be the sequence of record values generated from a sequence of i.i.d. continuous random variables, coming from a big class of distributions in the exponential family. In this paper we study the behavior of k-spacings of Ri, that is, Rk+i−Ri for i ≥ 1. We show that, under certain conditions, a normalized k-spacings empirically converges to a Gamma distribution. Counter examples sh...

In a sequence of random variables, record values are observations that exceed or fall below the current extreme value.Now consider a sequence of pairwise random variables  {(Xi,Yi), i>=1}, when the experimenter is interested in studying just thesequence of records of the first component, the second component associated with a record value of the first one is termed the concomitant of that ...

In recent years, in various sectors of our society, there have been nationalist stirrings which were crystallized and articulated by the late Claro M. Recto, There were jealous demands for the recognition of Philippine sovereignty on the Bases question. There were appeals for the correction of the iniquitous economic relations between the Philippines and the United States. For a time, Filipino ...

Closeness is described as a privacy measure and its advantages are illustrated through examples and experiments on a real dataset. In this Paper the closeness can be verified by giving different values for N and T. Government agencies and other organizations often need to publish micro data, e. g. , medical data or census data, for research and other purposes. Typically, such data are stored in...

Abstract: In this paper, we obtain certain expressions and recurrence relations for two general classes of distributions based on some conditional expectations of k-th lower record values. We consider the necessary and sufficient conditions such that these conditional expectations hold for some distribution functions. Furthermore, an expression of conditional expectation of other general class ...