Least Squares Estimation in Finite Markov Processes
- 1 June 1959
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 24 (2) , 137-144
- https://doi.org/10.1007/bf02289825
Abstract
The usual least squares estimate of the transitional probability matrix of a finite Markov process is given for the case in which, for each point in time, only the proportions of the sample in each state are known. The purpose of this paper is to give another estimate of this matrix and to investigate the properties of this estimate. It is shown that this estimate is consistent and asymptotically more efficient than the previously considered estimate in a sense defined in this paper.Keywords
This publication has 6 references indexed in Scilit:
- Statistical Analysis of Stationary Time SeriesPhysics Today, 1957
- Statistical Inference about Markov ChainsThe Annals of Mathematical Statistics, 1957
- Note on Miller's “Finite Markov Processes in Psychology”Psychometrika, 1953
- A Further Note on “Finite Markov Processes in Psychology”Psychometrika, 1953
- Finite Markov Processes in PsychologyPsychometrika, 1952
- The Design and Analysis of ExperimentsSoil Science, 1952