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Full-Text Articles in Physical Sciences and Mathematics

Logistic Regression Models For Higher Order Transition Probabilities Of Markov Chain For Analyzing The Occurrences Of Daily Rainfall Data, Narayan Chanra Sinha, M. Ataharul Islam, Kazi Saleh Ahamed May 2011

Logistic Regression Models For Higher Order Transition Probabilities Of Markov Chain For Analyzing The Occurrences Of Daily Rainfall Data, Narayan Chanra Sinha, M. Ataharul Islam, Kazi Saleh Ahamed

Journal of Modern Applied Statistical Methods

Logistic regression models for transition probabilities of higher order Markov models are developed for the sequence of chain dependent repeated observations. To identify the significance of these models and their parameters a test procedure for a likelihood ratio criterion is developed. A method of model selection is suggested on the basis of AIC and BIC procedures. The proposed models and test procedures are applied to analyze the occurrences of daily rainfall data for selected stations in Bangladesh. Based on results from these models, the transition probabilities of first order Markov model for temperature and humidity provided the most suitable option …


Probabilistic Models For Patient Scheduling, Adel Alaeddini Jan 2011

Probabilistic Models For Patient Scheduling, Adel Alaeddini

Wayne State University Theses

In spite of the success of theoretical appointment scheduling methods, there have been significant failures in practice primarily due to the rapid increase in the number of no-shows and cancelations from the individuals in recent times. These disruptions not only cause inconvenience to the management but also has a significant impact on the revenue, cost and resource utilization. In this research, we develop a hybrid probabilistic model based on logistic regression and Bayesian inference to predict the probability of no-shows in real-time. We also develop two novel non-sequential and sequential optimization models which can effectively use no-show probabilities for scheduling …