Limit laws for mixtures with applications to asymptotic theory of extremes

Keywords

Random variable, Limit (mathematics), Integer (computer science), Sequence (biology), Law of large numbers

References

• Distributions in Statistics: Discrete Distributions.C. D. Kemp, Norman L. Johnson, S. Kotz — 1970
• On Limiting Distributions of a Random Number of Dependent Random VariablesD. L. Thomas — 1972
• Limiting Distribution of the Maximum Term in Sequences of Dependent Random VariablesSimeon M. Berman — 1962
• Identifiability of MixturesHenry Teicher — 1961
• A general Poisson limit theorem of probability theoryJános Galambos — 1973
• Funzione caratteristica di un fenomeno aleatorioB. De Finetti — 1929
• Distributions in Statistics: Discrete Distributions.B. S. Everitt, N. L. Johnson, S. Kotz — 1970
• ON FINITE AND INFINITE SEQUENCES OF EXCHANGEABLE EVENTS.David G. Kendall — 1966

Cited by

• On extremes of mixtures of distributionsM. Sreehari, S. Ravi — 2008
• Limit theorems for extremes with random sample sizeDmitrii Silvestrov, Jozef L. Teugels — 1998
• Convergence of image measures and integralsDavid Birnbaum, Richard F. Serfozo — 1978
• On limit reliability functions of large multi-state systems with ageing componentsK. Kołowrocki — 2001
• A class of dependent random variables and their maximaTze Leung Lai, Herbert Robbins — 1978
• Reliability and Availability Analysis of Complex Port Transportation SystemsK. Kołowrocki, J. Soszyńska — 2006
• Limit theorems for mixed max–sum processes with renewal stoppingDmitrii S. Silvestrov, Jozef L. Teugels — 2004
• On the statistics of nonclassical photon statesAlexander Bach — 1989
• The limit theorems for maxima of stationary Gaussian processes with random IndexZhong Quan Tan — 2014
• The Asymptotic Theory of Extreme Order StatisticsJosé Tiago de Fonseca Oliveira, János Galambos — 1979
• The perils of weak convergenceL. E. N. Delbrouck — 1978
• Asymptotic approach to reliability of large complex systemsK. Kołowrocki, J. Soszyńska-Budny — 2011
• Asymptotic Properties of Extrema of Moving Sums of Independent Non-identically Distributed VariablesN. Balakrishnan, Alexei Stepanov — 2024
• Limit theorems for extremes with random sample sizeDmitrii Silvestrov, Jozef L. Teugels — 1998
• LIMIT THEOREMS FOR MIXED MAX–SUM PROCESSES WITH RENEWAL STOPPINGDmitrii Silvestrov, Jozef L. Teugels — 2005
• Reliability of large and complex systems - state of artKołowrocki Krzysztof — 2014
• The mathematical methods used in the asymptotic approach to the system reliability analysis of large systems are based on limit theorems on order statistics distributions considered in very wide literatureK. Kolowrocki, J. Soszyńska-Budny — 2011
• Asymptotics; Stable Laws for Extremes; Tail PropertiesJ. Galambos — 1984
• The perOs of weak convergenceL. E. N. DELBROUCKt — 2016

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