Steady-state Markov chain models for the Heine and Euler distributions
Tóm tắt
The paper puts forward steady-state Markov chain models for the Heine and Euler distributions. The models for oil exploration strategies that were discussed by Benkherouf and Bather (1988) are reinterpreted as current-age models for discrete renewal processes. Steady-state success-runs processes with non-zero probabilities that a trial is abandoned, Foster processes, and equilibrium random walks corresponding to elective
Từ khóa
Tài liệu tham khảo
Slater, 1966, Generalized Hypergeometric Functions
Bharucha-Reid, 1960, Elements of the Theory of Markov Processes and Their Applications
Kemp, 1979, Convolutions involving binomial pseudo-variables, Sankhya, A41, 232
Andrews, 1986, q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra.