Abstract
dc:description.abstractThe Hidden Markov Model (HMM) is a stochastic process that involves an unobservable Markov Chain and an observable output at each state in the chain. Hidden Markov Models are described by three parameters: A, B, and \uf070. A is a matrix that holds the transition probabilities for the unobservable states. B is a matrix that holds the probabilities for the output of an observable event at each unobservable state. Finally, \uf070 represents the prior probability of beginning in a particular unobservable state. Three fundamental questions arise with respect to HMMs. First, given A, B, and \uf070, what is the probability a specific observation sequence will be seen? Second, given A, B, \uf070 and an observation sequence, what is the most probable sequence of hidden states that produced the output? Finally, given a set of training data, estimate A, B, and \uf070. There are a number of tools that have been developed to answer these questions. Woolworth Blackjack is a variation of Blackjack played with a deck consisting of 20 fives and 32 tens. The object is to get a close to 20 as possible without going over. The player using a basic strategy loses to the dealer. The aim of this research is to develop a winning counting strategy for Woolworth Blackjack and then attempt to improve upon the counting strategy with a HMM using well-established HMM analysis tools. A secondary goal is to understand when to use counting strategies and when to use HMM's.'
Degree
thesis:*- Name thesis:degree_name
- Electrical Engineering
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Electrical and Computer Engineering
- Year
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Aragon, Steven J.
- Contributors dc:contributor
-
- Jordan, Ramiro
- Jayaweera, Sudharman
- Solomon, Otis Jr.
Subjects
dc:subject × 3Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://digitalrepository.unm.edu/ece_etds/17
- OAI identifier oai:identifier
- oai:digitalrepository.unm.edu:ece_etds-1016