On size-biased Consul distribution

被引:0
|
作者
Mir, Khurshid Ahmad [1 ]
机构
[1] Govt Degree Coll Bemina, Dept Stat, Srinagar, Kashmir, India
关键词
Consul distribution; size-biased Consul distribution; generalized logarithmic series distribution; R-software; Bayes' estimator; Chi-square; AIC; BIC; SERIES;
D O I
10.2478/s12175-011-0036-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a size-biased Consul distribution (SBCOND) is defined. Recurrence relations for central moments and the moments about origin are obtained. Different estimation methods for the parameters of the model are discussed. A comparative analysis is done among the three different estimation methods and the proposed model is compared with the generalized logarithmic series distribution (GLSD) and simple Consul distribution.
引用
收藏
页码:657 / 664
页数:8
相关论文
共 50 条
  • [1] A general size-biased distribution
    Patkowski, Alexander E.
    JOURNAL OF APPLIED ANALYSIS, 2023, 29 (02) : 347 - 351
  • [2] ON SIZE-BIASED GEETA DISTRIBUTION
    Mir, Khurshid Ahmad
    Ahmad, Munir
    PAKISTAN JOURNAL OF STATISTICS, 2009, 25 (03): : 309 - 316
  • [3] ON SIZE-BIASED GENERALIZED POISSON DISTRIBUTION
    Mir, Khurshid Ahmad
    Ahmad, Munir
    PAKISTAN JOURNAL OF STATISTICS, 2013, 29 (03): : 261 - U111
  • [4] Size-Biased Generalized Negative Binomial Distribution
    Mir, Khurshid Ahmad
    JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2008, 7 (02) : 446 - 453
  • [5] LABELINGS, SIZE-BIASED PERMUTATIONS AND THE GEM DISTRIBUTION
    DONNELLY, PJ
    ADVANCES IN APPLIED PROBABILITY, 1992, 24 (04) : 766 - 766
  • [6] Statistical inference for the size-biased Weibull distribution
    Tzavelas, George
    Panagiotakos, Demosthenes
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2013, 83 (07) : 1252 - 1265
  • [7] ON SIZE-BIASED GENERALIZED LOGARITHMIC SERIES DISTRIBUTION
    Hassan, Anwar
    Mir, Khurshid Ahmad
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2009, 46 (02) : 157 - 168
  • [8] A size-biased Ishita distribution and application to real data
    Al-Omari A.I.
    Al-Nasser A.D.
    Ciavolino E.
    Quality & Quantity, 2019, 53 (1) : 493 - 512
  • [9] Further Statistical Properties of Size-Biased Geometric Distribution
    Celik, Nuri
    Balay, Iklim Gedik
    THAILAND STATISTICIAN, 2025, 23 (01): : 64 - 71
  • [10] SIZE-BIASED SAMPLING
    SCHEAFFER, RL
    TECHNOMETRICS, 1972, 14 (03) : 635 - +