Leffler and Mittag

Stubhaug, Arild

doi:10.1007/978-3-642-11672-8_3

Cited by 2 publications

(2 citation statements)

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“…McShane et al (2008) derived a closed formula for the count probability of a renewal process based on Weibull inter-arrival times using series expansion. The same approach has been used by Jose and Abraham (2011) and Jose and Abraham (2013) to derive a counting process with Mittag-Leffler and Gumbel inter-arrival times, respectively.…”

Section: Introductionmentioning

confidence: 99%

Flexible Regression Models for Count Data Based on Renewal Processes: The Countr Package

Kharrat¹,

Boshnakov²,

McHale³

et al. 2019

J. Stat. Soft.

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A new alternative to the standard Poisson regression model for count data is suggested. This new family of models is based on discrete distributions derived from renewal processes, i.e., distributions of the number of events by some time t. Unlike the Poisson model, these models have, in general, time-dependent hazard functions. Any survival distribution can be used to describe the inter-arrival times between events, which gives a rich class of count processes with great flexibility for modelling both underdispersed and overdispersed data. The R package Countr provides a function, renewalCount(), for fitting renewal count regression models and methods for working with the fitted models. The interface is designed to mimic the glm() interface and standard methods for model exploration, diagnosis and prediction are implemented. Package Countr implements stateof-the-art recently developed methods for fast computation of the count probabilities. The package functionalities are illustrated using several datasets.

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Section: Introductionmentioning

confidence: 99%

Flexible Regression Models for Count Data Based on Renewal Processes: The Countr Package

Kharrat¹,

Boshnakov²,

McHale³

et al. 2019

J. Stat. Soft.

View full text Add to dashboard Cite

show abstract

“…While quite a few of these documents have been cited in various publications, most recently in Arild Stubhaug's biography of Mittag-Leffler [22], a full study of this correspondence would certainly be a most rewarding undertaking. For, as Weil rightly noted, Mittag-Leffler had a talent for turning colleagues into friends and the "rare quality of sympathy in the bonds of friendship which Mittag-Leffler had succeeded in establishing with men so diversely gifted, inducing them to confide their innermost thoughts to him with such abandon" is certainly striking [24, p. 11].…”

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confidence: 99%

The Institut Mittag-Leffler and its Archives: A Mathematician and his Legacy

Kaufholz-Soldat¹

2017

EMS Newsl.

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Leffler and Mittag

Cited by 2 publications

References 0 publications

Flexible Regression Models for Count Data Based on Renewal Processes: The Countr Package

Flexible Regression Models for Count Data Based on Renewal Processes: The Countr Package

The Institut Mittag-Leffler and its Archives: A Mathematician and his Legacy

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