mathematical theory of probability, a generalized renewal process (GRP) or G-renewal process is a stochastic point process used to model failure/repair behavior...

Renewal theory is the branch of probability theory that generalizes the Poisson process for arbitrary holding times. Instead of exponentially distributed...

point processes are particular cases of the generalized renewal process. Depending on the setting, the process has several equivalent definitions as well...

Markov renewal processes are a class of random processes in probability and statistics that generalize the class of Markov jump processes. Other classes...

statistics, econometrics, and signal processing, an autoregressive (AR) model is a representation of a type of random process; as such, it can be used to describe...

statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion process is stochastic in...

Markov processes, Lévy processes, Gaussian processes, random fields, renewal processes, and branching processes. The study of stochastic processes uses...

statistics, a continuous-time stochastic process, or a continuous-space-time stochastic process is a stochastic process for which the index variable takes a...

Residual time, in the theory of renewal processes Residual (numerical analysis) Minimal residual method Generalized minimal residual method Residual...

the generalized renewal process (GRP). Two years later, Kijima, Morimura, and Suzuki adapted the G-Renewal process to model the failure process of repairable...

jump process with arbitrary distributions of jump lengths and waiting times. More generally it can be seen to be a special case of a Markov renewal process...

In probability theory and statistics, the generalized chi-squared distribution (or generalized chi-square distribution) is the distribution of a quadratic...

Generalizability theory Generalized additive model Generalized additive model for location, scale and shape Generalized beta distribution Generalized...

{\displaystyle \max(F_{T}-K,\;0)} under the probability distribution of the process F t {\displaystyle F_{t}} . Except for the special cases of β = 0 {\displaystyle...

victim of a generalized infection as a result of an incurable cancer in the lymphatic system (lymphoma). In 2020, his beatification process was opened...

functions of the variables. A one-dimensional GRF is also called a Gaussian process. An important special case of a GRF is the Gaussian free field. With regard...

oxygen from, or metabolically process, an adequate supply of oxygen from an adequately oxygenated blood supply. Generalized hypoxia occurs in healthy people...

a generalized scaling law for anomalous files of independent particles: The first term on the right hand side of Eq. (21) appears also in renewal files;...

parameters. This is a special case of the generalized chi-squared distribution. A related concept is the generalized near-integer gamma distribution (GNIG)...

geometric distribution. A generalized Jackson network allows renewal arrival processes that need not be Poisson processes, and independent, identically...

transferred power to the opposition. On 21 April 1985, Neves died from a generalized infection. Although he was never technically president because he never...

stochastic processes have been considered that are similar to the pure random walks but where the simple structure is allowed to be more generalized. The pure...

(2017). "Asymptotic distribution of rewards accumulated by alternating renewal processes". Statistics and Probability Letters. 129: 355–359. doi:10.1016/j...

distribution Poisson clumping Poisson point process Poisson regression Poisson sampling Poisson wavelet Queueing theory Renewal theory Robbins lemma Skellam distribution...

failure remains constant with respect to time. For a renewal process with DFR renewal function, inter-renewal times are concave.[clarification needed] Brown...

process or, if its measure is a random measure, to a Cox point process. Convergence results, such as the Palm-Khinchin theorem for renewal processes,...

identifying community-based action skill requirements in the process of delivering housing market renewal (masters). Research Institute for the Built and Human...

mechanics, any choice of generalized coordinates qi for the position (i.e. coordinates on configuration space) defines conjugate generalized momenta pi, which...

called Generalized Linear Model). The estimation of parameters of probabilistic neuron models such as the SRM using methods developed for Generalized Linear...

with stochastic kernel K {\displaystyle K} . The kernel represents a generalized one-step transition probability law, so that P ( X n + 1 ∈ C ∣ X n =...