Introduces multi-time renewal chains via multi-index convolution and power series, with FFT-based computation, asymptotic theorems under proportional growth, and a nonparametric MLE for fixed-horizon censored data.
The discrete Weibull distribution.IEEE Transactions on Reliability, 24(5):300–301, 1975
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For the frog model with discrete Weibull lifetimes having right-edge density exponent β and lifetime exponent γ, the process dies out a.s. when β > 1/γ (finite-mean initial configuration) and survives with positive probability when β < 1/γ (non-empty initial configuration).
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Discrete time-multidimensional renewal theory and applications
Introduces multi-time renewal chains via multi-index convolution and power series, with FFT-based computation, asymptotic theorems under proportional growth, and a nonparametric MLE for fixed-horizon censored data.
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The Frog Model on $\mathbb Z$ with Random Discrete Weibull Lifetimes and Biased Nearest-Neighbour Random Walks
For the frog model with discrete Weibull lifetimes having right-edge density exponent β and lifetime exponent γ, the process dies out a.s. when β > 1/γ (finite-mean initial configuration) and survives with positive probability when β < 1/γ (non-empty initial configuration).