Lagrangian Katz family of distributions

P. C. Consul; Felix Famoye

doi:10.1080/03610929608831704

Lagrangian Katz family of distributions

P. C. Consul, Felix Famoye

Statistics, Actuarial & Data Sciences

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Lagrangian Katz distribution, characterized by three parameters is defined and studied. The probability generating function and its moments are provided. The probability distribution is shown to satisfy the convolution property. The parameters are estimated by the methods of moments, the first two moments and zero frequency, and the maximum likelihood estimation. Some of the applications of the Lagrangian Katz distribution are provided.

Original language	English
Pages (from-to)	415-434
Number of pages	20
Journal	Communications in Statistics - Theory and Methods
Volume	25
Issue number	2
DOIs	https://doi.org/10.1080/03610929608831704
State	Published - 1996

Keywords

Convolution
Cumulants
Generalized distribution
Maximum likelihood
Moments
Probability generating function

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10.1080/03610929608831704

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title = "Lagrangian Katz family of distributions",

abstract = "Lagrangian Katz distribution, characterized by three parameters is defined and studied. The probability generating function and its moments are provided. The probability distribution is shown to satisfy the convolution property. The parameters are estimated by the methods of moments, the first two moments and zero frequency, and the maximum likelihood estimation. Some of the applications of the Lagrangian Katz distribution are provided.",

keywords = "Convolution, Cumulants, Generalized distribution, Maximum likelihood, Moments, Probability generating function",

author = "Consul, {P. C.} and Felix Famoye",

year = "1996",

doi = "10.1080/03610929608831704",

language = "English",

volume = "25",

pages = "415--434",

journal = "Communications in Statistics - Theory and Methods",

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TY - JOUR

T1 - Lagrangian Katz family of distributions

AU - Consul, P. C.

AU - Famoye, Felix

PY - 1996

Y1 - 1996

N2 - Lagrangian Katz distribution, characterized by three parameters is defined and studied. The probability generating function and its moments are provided. The probability distribution is shown to satisfy the convolution property. The parameters are estimated by the methods of moments, the first two moments and zero frequency, and the maximum likelihood estimation. Some of the applications of the Lagrangian Katz distribution are provided.

AB - Lagrangian Katz distribution, characterized by three parameters is defined and studied. The probability generating function and its moments are provided. The probability distribution is shown to satisfy the convolution property. The parameters are estimated by the methods of moments, the first two moments and zero frequency, and the maximum likelihood estimation. Some of the applications of the Lagrangian Katz distribution are provided.

KW - Convolution

KW - Cumulants

KW - Generalized distribution

KW - Maximum likelihood

KW - Moments

KW - Probability generating function

UR - http://www.scopus.com/inward/record.url?scp=25844462866&partnerID=8YFLogxK

U2 - 10.1080/03610929608831704

DO - 10.1080/03610929608831704

M3 - Article

AN - SCOPUS:25844462866

SN - 0361-0926

VL - 25

SP - 415

EP - 434

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 2

ER -

Lagrangian Katz family of distributions

Abstract

Keywords

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