Characterizations of distributions via record values with random exponential shifts

Characterizations of Probability Distributions via Bivariate Regression of Record Values

Bairamov et al. (2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of nonadjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric...

Future record values prediction in exponential distribution

According to the first nth observations of the upper record from exponential distribution, in this article, we can compute maximum likelihood estimation of this distribution parameter. We, then, concentrate on point prediction of the future upper record values in exponential distribution based both on classic and Bayes approaches and second degree and linex loss functions.We, ultimately, de...

Characterizations of Distributions by Expected Values of Lower Record Statistics with Spacing

On the Characterization of the Exponential Distribution by Record Values with a Random Index

We give some characterizations of the exponential distribution based on the distributional properties and the expected values of record values; the index of record values has the geometric distribution.

Characterizations Using Entropies of Records in a Geometric Random Record Model

Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function $F$, within this set of observations denote the random number of records by $M$. This is called geometric random record model. In this paper, characterizations of $F$ are provided in terms of the subsequences entropies of records conditional on events ${M geq n}$ or ...