By Thomas Wake Epps

This publication provides the idea of likelihood and mathematical data at a degree compatible for researchers on the frontiers of utilized disciplines. Examples and workouts make crucial innovations in degree idea and research available to these with instruction constrained to vector calculus. whole, precise options to the entire routines exhibit recommendations of challenge fixing and supply instant suggestions.

half I, the idea of likelihood, begins with uncomplicated set concept and proceeds via simple degree and likelihood, random variables, integration and mathematical expectation. It concludes with an in depth survey of versions for distributions of random variables. half II, the speculation of facts, starts with sampling concept and distribution thought for records from basic populations, proceeds to asymptotic (large-sample) idea, and directly to aspect and period estimation and assessments of parametric hypotheses. The final 3 chapters disguise exams of nonparametric hypotheses, Bayesian equipment, and linear and nonlinear regression.

Researchers and graduate scholars in utilized fields similar to actuarial technological know-how, biostatistics, economics, finance, mathematical psychology, and structures engineering will locate this ebook to be a worthy studying instrument and a necessary reference.