On the Reversed Average Intensity Order

Authors

Majid Rezaei

Vahideh Ahrari Khalaf

Abstract:

Based on the increasing property of ratio of average reversed hazard rates of two non-negative random variables a new stochastic order for the sake of comparison of two lifetime distributions is proposed. This stochastic order admits some distinguishing properties. In order to illustrate the obtained results, a semi-parametric model which is called reverse hazard power and a mixture model of proportional reversed hazards are taken into account. Some examples are given to explain some facts.

Upgrade to premium to download articles

Already have an account?login

similar resources

Second-order reversed phi.

In a first-order reversed-phi motion stimulus (Anstis, 1970), the black-white contrast of successive frames is reversed, and the direction of apparent motion may, under some conditions, appear to be reversed. It is demonstrated here that, for many classes of stimuli, this reversal is a mathematical property of the stimuli themselves, and the real problem is in perceiving forward motion, which i...

full text

Second - Order Reversed

There is mounting evidence that there are three parallel streams of visual motion computation—firstand second-order systems that are primarily monocular and a third-order binocular system (Lu & Sperling, 1995a, 1995b, 1996c). The first-order system extracts motion from drifting luminance modulations, and the secondorder system extracts motion from drifting texture contrast modulations. These pr...

full text

On the reversed hazard rate of sequential order statistics

Sequential order statistics can be used to describe the lifetime of a system with n components which works as long as k components function assuming that failures possibly affect the lifetimes of remaining units. In this work, the reversed hazard rates of sequential order statistics are examined. Conditions for the reversed hazard rate ordering and the decreasing reversed hazard rate property o...

full text

ON THE ORDER OF a MODULO n, ON AVERAGE

Let a > 1 be an integer. Denote by la(n) the multiplicative order of a modulo integer n ≥ 1. We prove that there is a positive constant δ such that if x1−δ = o(y), then 1 y ∑

full text

Stochastic and Dependence Comparisons Between Extreme Order Statistics in the Case of Proportional Reversed Hazard Model

‎Independent random‎ ‎variables $Y_{1},ldots‎ ,‎Y_{n}$ belongs to the‎ ‎proportional reversed hazard rate (PRHR) model with‎ ‎proportionality parameters $lambda_1,...,lambda_n$‎, ‎if‎ ‎$Y_{k}sim G^{lambda _{k}}(x)$‎, ‎for $k=1,...,n$‎, ‎where $G$ is an‎ ‎absolutely continuous distribution function‎. ‎In this paper we compare‎ ‎the smallest order‎ ‎statistics‎, ‎the sample ranges and th...

full text

On the Average Order of Some Arithmetical Functions

We consider a large class of arithmetical functions generated by Dirichlet series satisfying a functional equation with gamma factors. Our objective is to state some 12 results for the average order of these arithmetical functions. Our objective here is to state some B-theorems on the average order of a class of arithmetical functions. We indicate very briefly the class of arithmetical function...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title

Journal of Statistical Research of Iran

volume 11 issue 1

pages 25- 39

publication date 2014-09

unfollow

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com