On HNBUE class after specific age
نویسندگان
چکیده
athemat s.2012.1 Abstract In this article we introduce new classes of life distributions namely harmonic new better (worse) than used in expectation after specific age t0 HNBUE t0 (HNWUE t0). The closure properties under various reliability operations such as convolution, mixture, mixing and the homogeneous Poisson shock model of these classes are studied. Furthermore, nonparametric test is proposed to test exponentiality vs. the HNBUEt0 class. The critical values and the powers of this test are calculated to assess the performance of the test. It is shown that the proposed test have high efficiencies for LFR and Weibull distributions. Sets of real data are used as examples to elucidate the use of the proposed test for practical problems.
منابع مشابه
Characterizations of exponentiality within the HNBUE class and related tests
A harmonic new better than used in expectation (HNBUE) variable is a random variable which is dominated by an exponential distribution in the convex stochastic order. We use a recently obtained condition on stochastic equality under convex domination to derive characterizations of the exponential distribution and bounds for HNBUE variables based on the mean values of the order statistics of the...
متن کاملProperties and Tests for Some Classes of Life Distributions
A life distribution and its survival function F = 1 F with finite mean y = /q F(x)dx are said to be HNBUE (HNWUE) if F(x)dx < (>) U exp(-t/y) for t > 0. The major part of this thesis deals with the class of HNBUE (HNWUE) life distributions. We give different characterizations of the HNBUE (HNWUE) property and present bounds on the moments and on the survival function F when this is HNBUE (HNWUE...
متن کاملOn Equivalence of Weak Convergence and Moment Convergence of Life Distributions
We investigate the equivalence of weak convergence and moment convergence of life distributions in a family which is larger than the HNBUE family. Also, we point out that within the HNBUE family the exponential distribution can be characterized by one value of its Laplace-Stieltjes transform.
متن کاملBivariate Characterized Model Based on Mean Residual Life Properties
This paper uses the concept of characterized model for bivariate extensions of univariate life distributions based on mean residual life properties. Different bivariate distributions can be generated from different choices of marginal distributions. The retention of univariate IMRL, DMRL, NBUE, NWUE, HNBUE and HNWUE class properties in the bivariate setup has been ensured along with results of ...
متن کاملMolecular Typing by Polymerase Chain Reaction Sequence Specific Primers (PCR- SSP) of Human Leukocyte Class I and Class II Alleles in a Sample of Iraqi Visceral Leishmaniasis Patients
Objective: This study aimed to investigate the association between HLA alleles and visceral leishmaniasis (VL) in a sample of Iraqi patients. Methods: A total of 30 patients were studied, in addition to 20 age, gender and ethnicity matched controls. All subjects were genotyped by polymerase chain reaction-sequence specific primers (PCR-SSP) method. Results: For HLA-class I region (A and B loci)...
متن کامل