Access the full text.
Sign up today, get DeepDyve free for 14 days.
John Best, J. Rayner (2018)
A Dispersion Test for the Modified Borel-Tanner Distribution
E. Gómez–Déniz (2015)
THE MODIFIED BOREL – TANNER ( MBT ) REGRESSION MODEL
F. Mosteller, D. Wallace (1984)
Applied Bayesian and classical inference : the case of the Federalist papers
Alan Miller (1961)
A Queueing Model for Road Traffic FlowJournal of the royal statistical society series b-methodological, 23
(1973)
On bivariate Lagrange and Borel - Tanner distributions and their use in queueing theory
M. Shaked, J. Shanthikumar, J. Valdez-Torres (1995)
Discrete hazard rate functionsComput. Oper. Res., 22
Fred Steutel, K. Harn (2003)
Infinite Divisibility of Probability Distributions on the Real Line
D. Farnsworth (1993)
A First Course in Order StatisticsTechnometrics, 35
W. Padgett, J. Spurrier (1985)
On Discrete Failure ModelsIEEE Transactions on Reliability, R-34
D. Wingo (1983)
Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Life Test DataBiometrical Journal, 25
(1965)
Probability distributions , factorial moments , empty cell test
Fraser Daly, S. Shneer (2019)
The Borel Distribution: Approximation and Concentration
T. Nakagawa, S. Osaki (1975)
The Discrete Weibull DistributionIEEE Transactions on Reliability, R-24
W. Warde, S. Katti (1971)
Infinite Divisibility of Discrete Distributions, IIAnnals of Mathematical Statistics, 42
E. Ziegel, E. Lehmann, G. Casella (1950)
Theory of point estimation
F. Mosteller, D. Wallace (1963)
Inference in an Authorship ProblemJournal of the American Statistical Association, 58
A. Kemp (2004)
Classes of Discrete Lifetime DistributionsCommunications in Statistics - Theory and Methods, 33
M. Xie, O. Gaudoin, Cyril Bracquemond (2002)
REDEFINING FAILURE RATE FUNCTION FOR DISCRETE DISTRIBUTIONSInternational Journal of Reliability, Quality and Safety Engineering, 09
F. Mosteller, D. Wallace (1984)
Applied Bayesian And Classical Inference
J. Tanner (1961)
A derivation of the Borel distributionBiometrika, 48
Abstract The Borel-Tanner distribution, with two shape parameters, and r, has some leverage over the Poisson distribution, other mixtures of the Poisson distribution, and several other discrete distributions, as it can be applied to both under and over-dispersed count data. In this article, some structural properties are studied that have not been explored earlier including recursive relation between successive probabilities. For illustrative purposes, two real-life data sets will be considered to show the applicability of this distribution that are re-analyzed for this purpose.
American Journal of Mathematical and Management Sciences – Taylor & Francis
Published: Apr 3, 2023
Keywords: Borel-Tanner distribution; recursive relation; stochastic ordering; maximum likelihood estimation; earthquake data; federalist data
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.