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Open AccessJournal ArticleDOI

A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains

Leonard E. Baum, +3 more
- 01 Feb 1970 - 
- Vol. 41, Iss: 1, pp 164-171
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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.

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Citations
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Journal ArticleDOI

Relationship Inference from Trios of Individuals, in the Presence of Typing Error

TL;DR: The increased information available from the joint analysis of trios of individuals is considered, integrating this analysis with an error model that allows for the most common genotyping errors.
Journal ArticleDOI

HMM-Based Malicious User Detection for Robust Collaborative Spectrum Sensing

TL;DR: By using two hidden Markov models corresponding to honest and malicious users respectively, high malicious user detection accuracy can be achieved at the fusion center, leading to more robust and reliable collaborative spectrum sensing performance in the presence of malicious users, as compared to the baseline approaches.
Journal ArticleDOI

Latent Markov models: a review of a general framework for the analysis of longitudinal data with covariates

TL;DR: A comprehensive overview of latent Markov (LM) models for the analysis of longitudinal categorical data is provided and methods for selecting the number of states and for path prediction are outlined.
Patent

Playlist generation method and apparatus

TL;DR: In this article, a method and system for playlist generation is described, which includes at least one analysis module for receiving and analyzing an unknown work and generating a corresponding representation thereof, and at least a identification server for receiving the representation from the analysis modules and determining the identity of the unknown work.
Journal ArticleDOI

The Role of Technology and Engineering Models in Transforming Healthcare

TL;DR: A key tenet of this paper concerns complementing prior work on patient-specific modeling and simulation by modeling neuropsychological, behavioral, and social phenomena, which are likely to be key components of health interventions to enhance health and wellbeing and the provision of healthcare.
References
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Journal ArticleDOI

An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

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

The gamma function

Emil Artin, +1 more
Book ChapterDOI

The Gamma Function

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.
Journal ArticleDOI

An Inequality

Joel Brenner