Preservation of failure rate function shape in weighted distributions

被引:0
|
作者
Ramesh C. Gupta
Barry C. Arnold
机构
[1] University of Maine,
[2] University of California,undefined
来源
关键词
Log-concavity; Hazard rate; Monotonicity; Bathtub (upside-down bathtub)-shaped failure rate; Hidden truncation; Conditional specification;
D O I
暂无
中图分类号
学科分类号
摘要
This paper deals with the monotonicity properties of the failure rate of weighted distributions in relation to the corresponding properties of the base line distribution. Conditions are developed for the preservation of the monotonicity of the failure rate under weighting in the case of monotonic as well as non-monotonic failure rates. Several examples are provided.
引用
收藏
页码:1 / 20
页数:19
相关论文
共 50 条
  • [1] Preservation of failure rate function shape in weighted distributions
    Gupta, Ramesh C.
    Arnold, Barry C.
    ASTA-ADVANCES IN STATISTICAL ANALYSIS, 2016, 100 (01) : 1 - 20
  • [2] ON PRESERVATION UNDER UNIVARIATE WEIGHTED DISTRIBUTIONSON PRESERVATION UNDER UNIVARIATE WEIGHTED DISTRIBUTIONS
    Izadkhah, Salman
    Amini, Mohammad
    Borzadaran, Gholam Reza Mohtashami
    APPLICATIONS OF MATHEMATICS, 2015, 60 (04) : 453 - 467
  • [3] Mixture of Weibull distributions - Parametric characterization of failure rate function
    Jiang, R
    Murthy, DNP
    APPLIED STOCHASTIC MODELS AND DATA ANALYSIS, 1998, 14 (01): : 47 - 65
  • [4] Some properties of the failure rate function for mixtures of Erlang distributions
    Tzavelas, George
    Koutropoulou, Christina
    Politis, Konstadinos
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (17) : 5850 - 5872
  • [5] Preservation of dependence concepts under bivariate weighted distributions
    Izadkhah, S.
    Amini, M.
    Borzadaran, G. R. Mohtashami
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (15) : 4589 - 4599
  • [6] PRESERVATION OF MONOTONE FAILURE RATE
    ESSARY, JD
    PROSCHAN, F
    OPERATIONS RESEARCH, 1961, 9 : B133 - B133
  • [7] Preservation of some aging properties and stochastic orders by weighted distributions
    Misra, Neeraj
    Gupta, Nitin
    Dhariyal, Ishwari Dutt
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (05) : 627 - 644
  • [8] MONOTONIC CONFIDENCE-LIMITS IN CLASS OF DISTRIBUTIONS WITH INCREASING FUNCTION OF FAILURE RATE
    PAVLOV, IV
    ENGINEERING CYBERNETICS, 1977, 15 (06): : 55 - 66
  • [9] Failure rate of Birnbaum-Saunders distributions: Shape, change-point, estimation and robustness
    Athayde, Emilia
    Azevedo, Assis
    Barros, Michelli
    Leiva, Victor
    BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2019, 33 (02) : 301 - 328
  • [10] ESTIMATION FOR DISTRIBUTIONS WITH MONOTONE FAILURE RATE
    RAO, BLSP
    ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (02): : 507 - &