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Estimating Allele Frequencies and Inbreeding Coefficients in K-Allele Models

Gorroochurn, Prakash; Hodge, Susan - In: Mathematical Population Studies 13 (2006) 2, pp. 83-103

Some of the methods of estimation of allele frequencies and inbreeding coefficients in a K-allele model are examined. A result that has long been assumed to be true is proved. That is, in the presence of inbreeding, the maximum likelihood estimators of the allele frequencies and of the...

Persistent link: https://www.econbiz.de/10009205599

Order k Version of the Alternative Hyper-Poisson Distribution

Satheesh, Kumar C.; Unnikrishnan, Nair B. - In: Economic Quality Control 28 (2013) 2, pp. 8-8

In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and...

Persistent link: https://www.econbiz.de/10010761917

The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties

Satheesh, Kumar C. - In: Economic Quality Control 28 (2013) 1, pp. 23-30

In this paper we develop a bivariate version of the confluent hypergeometric series distribution through its probability generating function and study some of its properties by deriving its probability mass function, factorial moments, probability generating functions of its marginal and...

Persistent link: https://www.econbiz.de/10010736070

Distributions of numbers of runs and scans on directed acyclic graphs with generation

Inoue, Kiyoshi; Aki, Sigeo - In: Computational Statistics 28 (2013) 3, pp. 1133-1150

of runs and scans on the directed acyclic graph by extending the method of conditional probability generating functions …. The results presented here provide a wide framework for developing the exact distribution theory of runs and scans on the … parameter estimation in the distributions of runs and scans. Copyright Springer-Verlag 2013 …

Persistent link: https://www.econbiz.de/10010847783

Distribution and double generating function of number of patterns in a sequence of Markov dependent multistate trials

Chang, Yung-Ming; Fu, James; Lin, Han-Ying - In: Annals of the Institute of Statistical Mathematics 64 (2012) 1, pp. 55-68

Persistent link: https://www.econbiz.de/10010848653

On some aspects of intervened generalized Hermite distribution

Kumar, C.; Shibu, D. - In: METRON 71 (2013) 1, pp. 9-19

Summary The intervened Poisson distribution (IPD) of Shanmugam (Biometrics 41:1025–1029, <CitationRef CitationID="CR19">1985</CitationRef>) has been found suitable for some rare event situations where some intervention arises. The main drawback of IPD is that it is under-dispersed and appropriate for single intervention situation....</citationref>

Persistent link: https://www.econbiz.de/10011000630

A general method for generating parametric Lorenz and Leimkuhler curves

Sarabia, José María; Gómez-Déniz, Emilio; Sarabia, … - In: Journal of Informetrics 4 (2010) 4, pp. 524-539

Let L0 consider an initial Lorenz curve. In this paper we propose a general methodology for obtaining new classes of parametric Lorenz or Leimkuhler curves that contain the original curve as limiting or special case. The new classes introduce additional parameters in the original family,...

Persistent link: https://www.econbiz.de/10011039364

A range reduction method for generating discrete random variables

Shmerling, Efraim - In: Statistics & Probability Letters 83 (2013) 4, pp. 1094-1099

A new general method for generating discrete random variables is presented. The method is based on reducing the problem of generating a discrete random variable with an extremely large range to that of generating a random variable with a small range consisting of a few possible values...

Persistent link: https://www.econbiz.de/10011039777

On waiting time distribution of runs of ones or zeros in a Bernoulli sequence

Kim, Sungsu; Park, Chongjin; Oh, Jungtaek - In: Statistics & Probability Letters 83 (2013) 1, pp. 339-344

Consider an infinite sequence of Bernoulli trials {Xi|i=1,2,…}. Let W(k) denote the waiting time, the number of trials needed, to get either consecutive k ones or k zeros for the first time. The probability distribution of W(k) is derived for both independent and homogeneous two-state...

Persistent link: https://www.econbiz.de/10011040050

Distributions of patterns of two successes separated by a string of k-2 failures

Dafnis, Spiros; Philippou, Andreas; Antzoulakos, Demetrios - In: Statistical Papers 53 (2012) 2, pp. 323-344

Persistent link: https://www.econbiz.de/10010558286