scispace - formally typeset
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
Reads0
Chats0
About
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

Content maybe subject to copyright    Report

Citations
More filters
Book

Survey of the State of the Art in Human Language Technology

R. Cole
TL;DR: In this article, the authors present a glossary for language analysis and understanding in the context of spoken language input and output technologies, and evaluate their work with a set of annotated corpora.
Book ChapterDOI

Learning Dynamic Bayesian Networks

TL;DR: This paper presents a probabilistic framework for learning models of temporal data using the Bayesian network formalism, a marriage of probability theory and graph theory in which dependencies between variables are expressed graphically.
Proceedings Article

Predictive Representations of State

TL;DR: This is the first specific formulation of the predictive idea that includes both stochasticity and actions (controls) and it is shown that any system has a linear predictive state representation with number of predictions no greater than the number of states in its minimal POMDP model.
Journal ArticleDOI

The power of amnesia: learning probabilistic automata with variable memory length

TL;DR: It is proved that the algorithm presented can efficiently learn distributions generated by PSAs, and it is shown that for any target PSA, the KL-divergence between the distributiongenerated by the target and the distribution generated by the hypothesis the learning algorithm outputs, can be made small with high confidence in polynomial time and sample complexity.
Journal ArticleDOI

Calculating posterior distributions and modal estimates in Markov mixture models

TL;DR: A new, full Bayesian approach based on the method of Gibbs sampling is developed, and it is shown that the latent variables, one for each observation, can be simulated from their joint distribution given the data and the remaining parameters.
References
More filters
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