On the distribution of the supremum for stochastic processes with interchangeable increments

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[1]  J. Jensen,et al.  Sur une identité d'Abel et sur d'autres formules analogues , 1902 .

[2]  Harry Pollard,et al.  The representation of $e^{ - x^\lambda }$ as a Laplace integral , 1946 .

[3]  Kai Lai Chung,et al.  On the distribution of values of sums of random variables , 1951 .

[4]  L. Takács.  Investigation of waiting time problems by reduction to Markov processes , 1955 .

[5]  P. A. P. Moran,et al.  A PROBABILITY THEORY OF A DAM WITH A CONTINUOUS RELEASE , 1956 .

[6]  D. Darling,et al.  The maximum of sums of stable random variables , 1956 .

[7]  F. Spitzer.  A Combinatorial Lemma and its Application to Probability Theory , 1956 .

[8]  M. Donsker,et al.  On the distribution of the supremum functional for processes with stationary independent increments , 1957 .

[9]  David G. Kendall,et al.  Some Problems in the Theory of Dams , 1957 .

[10]  R. Pyke.  THE SUPREMUM AND INFIMUM OF THE POISSON PROCESS , 1959 .

[11]  J. Gani,et al.  THE CONTENT OF A DAM AS THE SUPEREMUM OF AN INFINITELY DIVISIBLE PROCESS , 1960 .

[12]  Lajos Takács.  The Probability Law of the Busy Period for Two Types of Queuing Processes , 1961 .

[13]  N. U. Prabhu,et al.  A storage model with continuous infinitely divisible inputs , 1963, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  V. E. Beneš,et al.  General Stochastic Processes in the Theory of Queues , 1965 .

[15]  G. F. Newell,et al.  Introduction to the Theory of Queues. , 1963 .

[16]  COMBINATORIAL METHODS IN THE THEORY OF DAMS , 1964 .

[17]  Vaclav E. Benes,et al.  General Stochastic Processes in the Theory of Queues. , 1965 .