Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 3
Abstract
Characterization results have great importance in statistics and probability applications. New characterizations of Exponential and Power Function distributions are presented using the sth conditional expectation of order statistics in terms of their failure (hazard) rate. Our results generalize some of the known results of Ahsanullah (2009). A simulation study has been conducted to help an engineer or a practitioner to check whether the underlying distribution belongs to the hypothesized family.
Authors and Affiliations
Ahmed Afify, A. N. Ahmed, Z. M. Nofal
On Parameters Estimation in Stochastic Differential Equations with Additive Random Effects
In this paper, we proposed a class of statistical models where random effects are inserted into a Stochastic differential equations (SDEs) model, SDE defined N independent stochastic processes the drift term depend...
New Generalized Definitions of Rough Membership Relations and Functions from Topological Point of View
In this paper, we shall integrate some ideas in terms of concepts in topology. In fact, we introduce two different views to define generalized membership relations and functions as mathematical tools to classify the sets...
Dynamics of SVIS Model with Holling Type IV Functional Response
In this paper, we will study the effect of some epidemic concepts such as immigrants and vaccine on the dynamical behaviour of epidemic models. The existence, uniqueness and boundedness of the solution are investigated....
ON upper and lower SP-θ (semi-pre-θ)-Continuous Multifunctions
In this paper we introduce and investigate a new types of multifunctions called upper(lower) sp-θ-continuous multifunctions and upper(lower) semi-pre-θ-continuous multifunctions by using the notions in [1]. The concept...
Designing error resistant controller by using of bond-graph theory on electromagnetic loading system
Developing methods to design controller which at least under the situation that error exists, could continue its control procedure by decreasing operation till system attains secure situation to eliminate error, is a nec...