A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
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This article is published in Annals of Mathematical Statistics.The article was published on 1970-02-01 and is currently open access. It has received 4618 citations till now. The article focuses on the topics: Examples of Markov chains & Markov chain.read more
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Proceedings ArticleDOI
Unobtrusive Assessment of Mobility
TL;DR: A semi-Markov model representation with automated learning is presented to characterize individual elder's mobility in the home environment and can serve as one of the predictors of future cognitive functionality and the ability of elders to live independently in their home environment.
Journal ArticleDOI
Pacing of Paleozoic macroevolutionary rates by Milankovitch grand cycles
James S. Crampton,Stephen R. Meyers,Roger A. Cooper,Peter M. Sadler,Michael Foote,David Harte +5 more
TL;DR: The results confirm the existence of Milankovitch grand cycles in the Early Paleozoic Era and show that known processes related to the mechanics of the Solar System were shaping marine macroevolutionary rates comparatively early in the history of complex life.
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The Structure of Genetic Linkage Data: From LIPED to 1M SNPs
TL;DR: The role of these assumptions through the history of linkage likelihood computation, through to a new framework of genetic linkage analysis in the era of dense genomic marker data, is traced.
Journal ArticleDOI
Mining Process Heuristics From Designer Action Data via Hidden Markov Models
TL;DR: This work applies data-mining techniques to quantitatively study the processes that designers use to solve configuration design problems, to extract beneficial design process heuristics that are generalizable to the entire class of problems.
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Recursive estimation in mixture models with Markov regime
Ulla Holst,Georg Lindgren +1 more
TL;DR: A recursive algorithm is proposed for estimation of parameters in mixture models, where the observations are governed by a hidden Markov chain, and the often badly conditioned information matrix is estimated, and its inverse is incorporated into the algorithm.
References
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Journal ArticleDOI
Statistical Inference for Probabilistic Functions of Finite State Markov Chains
Leonard E. Baum,Ted Petrie +1 more
Journal ArticleDOI
An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology
Leonard E. Baum,J. A. Eagon +1 more
TL;DR: In this paper, a polynomial with nonnegative coefficients homogeneous of degree d in its variables is shown to be polynomially homogeneous unless 3(3(x))>P(x), where 3(x)=x.
Book ChapterDOI
The Gamma Function
Willi Freeden,Martin Gutting +1 more
TL;DR: The Gamma function as discussed by the authors is a generalized factorial function that can be used to estimate the probability distribution of a probability distribution, and it has been used in many applications, e.g., as part of probability distributions.