3 edition of **Micro and macro data in statistical inference on Markov chains** found in the catalog.

Micro and macro data in statistical inference on Markov chains

Gunnar Rosenqvist

- 173 Want to read
- 13 Currently reading

Published
**1986** by [Swedish School of Economics and Business Administration] in Helsingfors .

Written in English

- Markov processes.,
- Mathematical statistics.,
- Probabilities.

**Edition Notes**

Statement | Gunnar Rosenqvist. |

Series | Ekonomi och samhälle ;, nr. 36, Ekonomi och samhälle (Svenska handelshögskolan (Helsinki, Finland)) ;, nr. 36. |

Classifications | |
---|---|

LC Classifications | QA274.7 .R685 1986 |

The Physical Object | |

Pagination | 222 p. : |

Number of Pages | 222 |

ID Numbers | |

Open Library | OL2321323M |

ISBN 10 | 9515552370 |

LC Control Number | 86204442 |

Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. To what extent is there a formal/mathematical analogy between Bayesian updating/inference and Markov chains? about the possible existence of a "formal"/mathematical analogy between the. Markov logic is a formalism to achieve the dual goal of representing the relational structure while handling uncertainty using well-founded statistical models. Markov logic models the underlying domain using weighted first-order formulas. These formulas are then compiled into a Markov network with features corresponding to the ground formulas. Royal Statistical Society –/05/ B () 67, Part 3, pp– Statistical inference for discretely observed Markov jump processes Mogens Bladt Universidad Nacional Aut´onoma de M´exico, M´exico and Michael Sørensen University of Copenhagen, Denmark [Received September Final revision January Cited by:

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Statistical Inference about Markov Chains. Anderson and Leo A. Goodman Full-text: Open access. PDF File ( KB) The statistical analysis in the case of a single observation of a long chain is also discussed.

Missing Data in the One-Population Multivariate Normal Patterned Mean and Covariance Matrix Testing and Estimation Problem Cited by: Statistical Inference About Markov Chains. for finite Markov chains under two different initial conditions on n i = n j=1 I(X (j) 0 = i), the number of observations in state i at time t = 0.

Rosenqvist G. Micro and Macro Data in Statistical Inference on Markov Chains. Publications of the Swedish School of Economics and Business Administration, nr 36; [5] Crowder M, Stephens D.

On inference from Markov chain macro-data using transforms. Journal of Statistical Planning and Inference.

; – [6] King : Arie Ten Cate. ample of a Markov chain on a countably inﬁnite state space, but ﬁrst we want to discuss what kind of restrictions are put on a model by assuming that it is a Markov chain. Within the class of stochastic processes one could say that Markov chains are characterised by the dynamical property that they never look Size: KB.

We estimate the parameters of a Markov chain model using two types of simulated data: micro, or actual interstate transition counts, and macro aggregate frequency. We compare, by means of Monte Carlo experiments, the validity and power for micro likelihood ratio tests with their macro counterparts, previously developed by the authors to Cited by: 7.

Bayesian estimation of non-stationary Markov models combining micro and macro data Article in European Review of Agricultural Economics July with 52 Reads How we measure 'reads'. Don't show me this again. Welcome. This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left.

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Statistical Inference for Markov Processes (Statistical Research Monograph) [Patrick Billingsley] on *FREE* shipping on qualifying offers.

Statistical Inference for Markov Processes (Statistical Research Monograph)Cited by: Follow Gunnar Rosenqvist and explore their bibliography from 's Gunnar Rosenqvist Author Page. This paper is an expository survey of the mathematical aspects of statistical inference as it applies to finite Markov chains, the problem being to draw inferences about the transition probabilities from one long, unbroken observation $\{x_1, x_2, \cdots, x_n\}$ on the chain.

We consider data that are longitudinal, arising from n individuals over m time periods. Each individual moves according to the same homogeneous Markov chain, with s states.

If the individual sample paths are observed, so that ‘micro-data’ are available, the transition probability matrix is estimated by maximum likelihood straightforwardly from the transition by: 2.

The data contain ~10, time points, but some transitions may only be observed several times. So, I'm probably not in the asymptotic regime.

The literature. The closest method I've found is described in: Vautard et al. Statistical significance test for transition matrices of atmospheric Markov chains. In this review, I outline the role of probabilistic inference in artiﬁcial intelligence, present the theory of Markov chains, and describe various Markov chain Monte Carlo algorithms, along with a number of supporting techniques.

I try to present a comprehensive picture of the range of methods that have been developed, includingCited by: Maximum likelihood estimation of the Markov chain model with macro data and the ecological inference model Arie ten Cate * Septem Abstract This paper merges two isolated bodies of literature: the Markov chain model with macro data (MacRae, ) and the ecological in-ference model (Robinson, ).

Both are choice models. They have. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Probabilistic inference is an attractive approach to uncertain reasoning and empirical learning in artificial intelligence. Computational difficulties arise, however, because probabilistic models with the necessary realism and flexibility lead to complex distributions over high-dimensional spaces.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstruct- Statistical testing of software establishes a basis for statistical inference about a software system's expected field quality. This paper describes a method for statistical testing based on a Markov chain model of software usage.

The significance of the Markov chain is twofold. Methods: data analysis, numerical statistical Abstract Markov Chain Monte Carlo based Bayesian data analysis has now be-come the method of choice for analyzing and interpreting data in al-most all disciplines of science.

In astronomy, over the last decade, we have also seen a steady increase in the number of papers that em-File Size: 3MB. Bayesian Estimation of Non-Stationary Markov Models Combining Micro and Macro Data Hugo Storm, Thomas Heckelei, Ron C. Mittelhammer Abstract We develop a Bayesian framework for estimating non-stationary Markov models in situations where macro population data is available only on the proportion of individuals.

Overall, Markov Chains are conceptually quite intuitive, and are very accessible in that they can be implemented without the use of any advanced statistical or mathematical concepts.

They are a great way to start learning about probabilistic modeling and data science techniques. Likelihood inference for discretely observed Markov jump processes with ﬁnite state space is investigated. The existence and uniqueness of the maximum likelihood esti-mator of the intensity matrix are investigated.

This topic is closely related to the imbedding problem for Markov chains. It is demonstrated that the maximum likeli. Elements of statistical inference for Markov Chain models in Biology Jos e Miguel Ponciano: [email protected] 1. be informed by the nature of the data and 2.

be informed by and inform the probabilistic model-building process using Markov Chains. Abstract. This paper presents an overview of Markov Chain Monte Carlo (MCMC) methods for statistical inference and applications. The article begins by describing ordinary Monte Carlo methods, which in principle has the same goals as the Author: Tao Bo, Chin Teck Chai.

Revisiting Causality Inference in Markov Chain Data Abbas Shojaee 1 Abstract Identifying causal relationships is a key premise of scientific research. Given the mass of observational data in many disciplines, new machine learning methods offer the possibility of.

Introduction to Bayesian Data Analysis and Markov Chain Monte Carlo Jeffrey S. Morris University of Texas M.D. Anderson Cancer Center Department of Biostatistics [email protected] Septem Abstract The purpose of this talk is to give a brief overview of Bayesian Inference and Markov Chain Monte Carlo methods, including the GibbsFile Size: KB.

structural analysis, and statistical inference on DTMCs. A brief overview of the functionalities written to deal with non - homogeneous discrete dime Markov chains (NHDTMCs) is provided in Section A discussion on numerical reliability and File Size: KB. Visual Inference by Data -Driven Markov Chain Monte Carlo Zhuowen Tu and Song-Chun Zhu Statistics and Computer Science University of California, Los Angeles Los Alamos National Lab, 12 Parsing Image Into Various Stochastic.

Title: Statistical Methods in Markov Chains Author: Patrick Billingsley Subject: A survey of the mathematical aspects of statistical inference as it applies to finite Markov chains, the problem being to draw inferences about the transition probabilities from one long, unbroken observation of.

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state sequence, found via the Viterbi algorithm, or the sequence of most probable marginals using the forward–backward Cited by: 6.

Re: Markov Chain Transition Probabilities Macro Posted ( views) | In reply to Rick_SAS The transition matrix I want to estimate is going to be numeric and square.

A Markov chain is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. In continuous-time, it is known as a Markov process. It is named after the Russian mathematician Andrey Markov.

Markov chains have many applications as statistical models of real-world processes. Statistical Inference in Hidden Markov Models Using k-Segment Constraints Michalis K.

TITSIAS, Christopher C. HOLMES, and Christopher YAU to the data to explore additional features. Holmes, and Yau: Statistical Inference in HMMs Using k-Segment Constraints we call k-segment inference algorithms. These algorithms are. Summary. Drawing on the authors’ extensive research in the analysis of categorical longitudinal data, Latent Markov Models for Longitudinal Data focuses on the formulation of latent Markov models and the practical use of these us examples illustrate how latent Markov models are used in economics, education, sociology, and other fields.

statistical inference as it applies to finite Markov chains, the problem being to draw inferences about the transition probabilities from one long, unbroken ob-servation {x1, x2, - -*, xn4 on the chain.

The topics covered include Whittle's formula, chi-square and maximum-likelihood methods, estimation of parameters, and multiple Markov chains. Probabilistic Inference using Markov Chain Monte Carlo Methods Radford M. Neal, Dept. of Computer Science, University of Toronto.

Probabilistic inference is an attractive approach to uncertain reasoning and empirical learning in artificial intelligence.

IEEE TRANSACTIONS ON SOFTWARE 20, NO. IO, OCTOBER A Markov Chain Model for Statistical Software Testing James A. Whittaker and Michael G. Thomason, Senior- Member- IEEE Abstruct- Statistical testing of software establishes a basis for statistical inference about a software system's expected field quality.

This paper describes a. Stat Lecture Notes: Bayesian Inference via Markov Chain Monte Carlo (MCMC) Charles J. Geyer Febru parameter value in a statistical inference problem must have the uncertainty about it describable by a Stat Lecture Notes: Bayesian Inference via Markov Chain Monte Carlo (MCMC) File Size: KB.

Markov chain Monte Carlo is a stochastic sim-ulation technique that is very useful for computing inferential quantities. It is often used in a Bayesian context, but not restricted to a Bayesian setting.

Outline 1. Review of Bayesian inference 2. Monte Carlo integration and Markov chains 3. MCMC in Bayesian inference: ideas Size: KB. Here is a simple predictive analytics example that uses a Markov model (i.e., the complete set of Markov chain transition probabilities) to predict the future.

Consider the following sequence of weather reports (a Markov chain) representing a series of 50 consecutive days (where S=sunny, R=rainy, and P=partly cloudy). Data The data are loaded by the R command The theory of OMC is just the theory of frequentist statistical inference. The only di erences are that • the\data"X X nare computer simulations rather than measure- Most Markov chains used in MCMC obey the LLN and the CLT.

These are the Markov chain LLN and Markov chain. For further discussion of Markov chains, the reader is referred to [2] or [7]. Estimation of the parameters of a first-order Markov The model. Let the states be i = 1, 2, - - *, m. Though the state i is usually thought of as an integer running from 1.

In addition, spectral geometry of Markov chains is used to develop and analyze an algorithm which automatically nds informative decompositions of residuals using this spectral analysis.

Spectral analysis with Markov chains is presented as a technique for exploratory data analysis and illustrated with simple count data and contingency table Size: 1MB.In markovchain: Easy Handling Discrete Time Markov Chains.

Description Usage Arguments Value Author(s) References See Also Examples. Description. These functions verify the Markov property, assess the order and stationarity of the Markov chain. This function tests whether an empirical transition matrix is statistically compatible with a theoretical one.Excel & Data Processing Projects for $30 - $ Looking for some help with a Markov chain tennis model.

I’d prefer the solution to be in excel but am open to other options as long as I can access it freely online and change the inputs. Please see.