This leads to the study of renewal theory and reliability theory of ageing and longevity.
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The Laplace transform has applications throughout probability theory, including first passage times of stochastic processes such as Markov chains, and renewal theory.
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I'd like the images in my article renewal theory to appear smaller out of consideration for users with a lower screen resolution.
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In other contexts, the quantity computed here is known as the length biased ( or size biased ) distribution; it also has an important role in renewal theory.
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As noted in a seminal publication by Leblond, " the reappearance at each cycle of a new dormant cell which acts as the stem cell of spermatocytes is described as the'Stem Cell Renewal Theory'".
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He has contributed to numerous areas of probability theory, including subadditive ergodic theory, random graphs, renewal theory, and is best known for his pioneering work on interacting particle systems, including the voter model, and the exclusion process.
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