Geiger Counter-Type Polya-Eggenberger Distributions

被引：2
|
作者：
Sen, Kanwar [1 ]
Agarwal, Manju L. [2 ,3 ]
Bhattacharya, Sonali [4 ]
机构：
[1] Univ Delhi, Dept Stat, Delhi 110007, India
[2] Shiv Nadar Univ, IIIMIT, Greater Noida, UP, India
[3] Univ Delhi, Dept Operat Res, Delhi 110007, India
[4] Symbiosis Ctr Management & Human Resource Dev, Pune, Maharashtra, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 23期
关键词：
Geiger counter model; Modified binomial distribution; Polya-Eggenberger sampling scheme; ORDER-K; URN MODEL;
D O I：
10.1080/03610926.2012.742109
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Motivated by the paper of Dandekar (1955), a one-urn model with Polya-Eggenberger sampling scheme is developed, which yields a large number of discrete distributions, including the Dandekar's modified binomial distribution, as particular cases. The model is further modified to some new generalized distributions of order k. Some probable applications of these models were discussed in Dandekar (1955) and Feller (1968) in fields of fertility study and radioactivity. It also has applications in premium determination in insurance sector.
引用
收藏
页码：4912 / 4926
页数：15
相关论文
共 50 条
  • [41] SOME RESULTS ON POLYA TYPE 2 DISTRIBUTIONS
    ALAM, K
    ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (05): : 1759 - &
  • [42] Optimization design of counter-type full-bore fracturing sliding-sleeve
    Zhao C.
    Wang S.
    Pei X.
    Wu Z.
    Nie Y.
    Zhou H.
    Sun H.
    Jiang X.
    Shiyou Xuebao/Acta Petrolei Sinica, 2018, 39 (04): : 482 - 490
  • [43] THE CAPITALIST AS COUNTER-TYPE - STAGES OF THE CRITIQUE OF THE GERMAN ECONOMIC MIRACLE IN WALSER NOVELS
    SCHOLZ, JJ
    MARTIN WALSER : INTERNATIONAL PERSPECTIVES, 1987, 64 : 71 - 80
  • [44] Improvement of luminous efficacy in plasma display panels by a counter-type electrode configuration with a large gap
    Hur, Min
    Kim, Jae Rok
    Yi, Jeong Doo
    Cho, Yoon Hyoung
    Bin Song, Su
    Park, Jun Yong
    Lee, Han Yong
    JOURNAL OF APPLIED PHYSICS, 2006, 99 (11)
  • [45] PIPETTE-TYPE GEIGER COUNTER FOR SMALL QUANTITIES OF BIOLOGICAL FLUIDS
    MAURICE, DM
    JOURNAL OF PHYSIOLOGY-LONDON, 1948, 107 (04): : P26 - P26
  • [46] POLYA-TYPE DISTRIBUTIONS .3. ADMISSIBILITY FOR MULTI-ACTION PROBLEMS
    KARLIN, S
    ANNALS OF MATHEMATICAL STATISTICS, 1957, 28 (04): : 839 - 860
  • [47] Temporal Bright and Dark Image Sticking Phenomena of Counter-type Electrodes with Parallel Electric Field in AC-PDP
    Kim, Bo-Sung
    Park, Choon-Sang
    Kim, Jae Hyun
    Lee, Yun-Su
    Tae, Heung-Sik
    MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 2012, 564 : 94 - 103
  • [48] SURFACES OF EQUAL SENSITIVITY NEAR THE WINDOW OF A GEC GEIGER COUNTER TYPE-GM2
    PUTMAN, JL
    BOXALL, RH
    BRITISH JOURNAL OF RADIOLOGY, 1947, 20 (233): : 190 - 191
  • [49] A type of Geiger-Muller counter suitable for the measurement of diffracted MoK x-rays
    Le Galley, DP
    REVIEW OF SCIENTIFIC INSTRUMENTS, 1935, 6 (09): : 279 - 283
  • [50] POLYA TYPE DISTRIBUTIONS .4. SOME PRINCIPLES OF SELECTING A SINGLE PROCEDURE FROM A COMPLETE CLASS
    KARLIN, S
    ANNALS OF MATHEMATICAL STATISTICS, 1958, 29 (01): : 1 - 21
12345