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Full-Text Articles in Statistics and Probability
Linear Operators Strongly Preserving Polynomial Equations Over Antinegative Semirings, Sang-Gu Lee
Linear Operators Strongly Preserving Polynomial Equations Over Antinegative Semirings, Sang-Gu Lee
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
We characterized the group of linear operators that strongly preserve r-potent matrices over the binary Boolean semiring, nonbinary Boolean semirings, and zero-divisor free antinegative semirings. We extended these results to show that linear operators that strongly preserve r-potent matrices are equivalent to those linear operators that strongly preserve the matrix polynomial equation p(X) = X. where p(X) = Xr1 + Xr2 + ... + Xrt and r1>r2>...>rt≥2.
In addition, we characterized the group of linear operators that strongly preserve r-cyclic matrices over the same semirings. We …
A Comparison Of Estimation Procedures For The Beta Distribution, Huey Yan
A Comparison Of Estimation Procedures For The Beta Distribution, Huey Yan
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The beta distribution may be used as a stochastic model for continuous proportions in many situations in applied statistics. This thesis was concerned with estimation of the parameters of the beta distribution in three different situations.
Three different estimation procedures-the method of moments, maximum likelihood, and a hybrid of these two methods, which we call the one-step improvement-were compared by computer simulation, for beta data and beta data contaminated by zeros and ones. We also evaluated maximum likelihood estimation in the context of censored data, and Newton's method as a numerical procedure for solving the likelihood equations …