Univariate Discrete Distributions: Johnson/Univariate Discrete Distributions

By N. L. Johnson, Adrienne W. Kemp, Samuel Kotz. 2005

906 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d0cf00653ffd85349fee3a1f9238e00a40cd7086

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Citations in the corpus

What does a zero mean? Understanding false, random and structural zeros in ecology (2019, background): “From Johnson, Kemp, and Kotz (2005), we know that Equation 1 can still be sensibly interpreted for −fR(0| R) 1−fR(0| R) ≤ ≤1.”
Infinitely Divisible Distributions in Integer‐Valued Garch Models (2015, neutral): “We are in presence of a wide class of discrete distributions which includes several well-known examples in literature such as the logarithmic and Borel laws (Johnson et al., 2005).”
Fitting and goodness-of-fit test of non-truncated and truncated power-law distributions (2012, background): “…power-law distributions are also called Pareto distributions (Evans et al., 2000; Johnson et al., 1994) (or Riemann zeta distributions in the discrete case (Johnson et al., 2005)), although in other contexts the name Pareto is associated to a slightly different distribution (Johnson et al., 1994).”
An INAR(1) process for modeling count time series with equidispersion, underdispersion and overdispersion (2017, neutral): “8.2.3 in Johnson et al. (2005).”
Regional competitiveness, university spillovers, and entrepreneurial activity (2011, neutral): “As can be inferred from this simple example the negative binomial distribution does not assume the independence of trials—the more ‘heads’ in a row one gets, the more likely it becomes to get ‘tails’—and can therefore account for contagion effects in the sample (Johnson et al. 2005).”
Regression Analysis of Multivariate Fractional Data (2016, neutral): “First, for M = 2, (15) reduces to the beta-binomial p.f. (see Johnson et al., 2005, Ch. 6); see inter alia Heckman and Willis (1977) and Santos Silva and Murteira (2009) for examples of the use of the betabinomial model in a regression context.”
Discrete dispersion models and their Tweedie asymptotics (2014, methodology): “To obtain a discrete analogue of (2.1), we consider the factorial cumulant generating function (FCGF) for X (Johnson et al. , 2005, p. 55), defined by C(t) = C(t”
Estimating the Number of Species in Microbial Diversity Studies (2014, background): “In 1945, Katz (see Johnson et al. 2005) showed that these are the only true probability distributions that can occur when the recursive frequency ratio ( j + 1)fj +1/fj follows a linear structure, i.e., ( j + 1)fj +1/ fj = b0 + b1j.”