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Generalized Inverse Gaussian Distributions and their Wishart Connections
Scandinavian Journal of Statistics, 1998The matrix generalized inverse Gaussian distribution (MGIG) is shown to arise as a conditional distribution of components of a Wishart distributio n. In the special scalar case, the characterization refers to members of the class of generalized inverse Gaussian distributions (GIGs) and includes the inverse Gaussian distribution among ...
exaly +3 more sources
Interval estimation for inverse Gaussian distribution
Quality and Reliability Engineering International, 2021AbstractIn this paper, we consider interval estimation for the inverse Gaussian (IG) distribution. Using generalized pivotal quantity method, we derive the generalized confidence intervals (GCIs) for the model parameters and some quantities such as the quantile, the reliability function of the lifetime, the failure rate function, and the mean residual ...
Xiaofei Wang +5 more
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Bivariate inverse gaussian distribution
Annals of the Institute of Statistical Mathematics, 1981A bivariate inverse Gaussian (IG) density function is constructed. Relations of the bivariate IG distribution to the normal and χ2 distributions are established. The corresponding bivariate random walk (RW) density function is obtained. The properties and behaviour of bivariate IG distribution are studied for large parametric values.
Al-Hussaini, Essam K. +1 more
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On Bayesian inference for the Inverse Gaussian distribution
Statistics & Probability Letters, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BETRO B, ROTONDI R
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Statistical Distributions Related to the Inverse Gaussian
Communications in Statistics - Simulation and Computation, 1975Considering some useful functions of the inverse Gaussian variate we derive its related statistical distributions. in general, these distributions are shwn to have a certain anaogy vita several related distribution for the normal, and lead to inversting applicatons in developing sampling theory and statiatical inverse Gaussian.
Chhikara, R. S., Folks, J. L.
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An alternative inverse Gaussian distribution
Mathematics and Computers in Simulation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Percentile Estimation in Inverse Gaussian Distributions
Communications in Statistics - Simulation and Computation, 2013This paper presents procedures for percentile estimation in the three-parameter inverse Gaussian (IG3) and the two-parameter inverse Gaussian (IG2) distributions. All procedures require first the estimation of distribution parameters and second the computation of the desired quantile at the estimated parameters.
Athanasios G. Kallioras +1 more
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On Testing the Inverse Gaussian Distribution Hypothesis
Sankhya B, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José A. Villaseñor +2 more
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On Khatri's characterization of the inverse‐Gaussian distribution
Canadian Journal of Statistics, 1985AbstractKhatri has given a characterization of the inverse‐Gaussian distribution by the independence of two statistics. His proof involves assumptions on the existence of certain moments. In this note, we offer a short proof using only the positivity of the random variable X1.
Letac, Gérard, Seshadri, Vanamamalai
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Tests of fit for Inverse Gaussian distributions
Statistics & Probability Letters, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Villaseñor, José A. +1 more
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