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・ Transition metal carbyne complex
・ Transition metal dichalcogenide monolayers
・ Transition metal dinitrogen complex
・ Transition metal dioxygen complex
・ Transition metal hydride
・ Transition metal oxo complex
・ Transition metal thiolate complex
・ Transition methodology
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Transition rate matrix
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Transition rate matrix : ウィキペディア英語版
Transition rate matrix
In probability theory, a transition rate matrix (also known as an intensity matrix or infinitesimal generator matrix) is an array of numbers describing the rate a continuous time Markov chain moves between states.
In a transition rate matrix ''Q'' (sometimes written ''A'') element ''q''''ij'' (for ''i'' ≠ ''j'') denotes the rate departing from ''i'' and arriving in state ''j''. Diagonal elements ''q''''ii'' are defined such that
:q_ = -\sum_ q_.
and therefore the rows of the matrix sum to zero.
==Definition==

A ''Q'' matrix (''q''''ij'') satisfies the following conditions
# 0 \leq -q_ < \infty
# 0 \leq q_ : \mathrm\; i \neq j
# \sum_j q_ = 0 : \mathrm\;\mathrm\; i

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