Risultati ricerca

Abstract/Sommario: Foundations of geometric function theory - The triangle functions and Picard's theorem.

Abstract/Sommario: The algebra of linear transformations and quadratic forms - Series expansions of arbitrary functions - Linear integral equations - The calculus of variations - Vibration and eigenvalue problems - Application of the calculus of variations to eigenvalue problems - Special functions defined by eigenvalue problems.

Abstract/Sommario: The nature of probability theory - The sample space - Elements of combinatorial analysis. Stirling's formula - The simplest occupancy and ordering problems - Combination of events - Conditional probability. Statistical independence - The binomial and the Poisson distributions - The normal approximation to the binomial distribution - Unlimited sequences of Bernoulli trials - Random variables; expectation - Laws of large numbers - Integral valued variables. Generating functions - Recurre ...; [Leggi tutto...] The nature of probability theory - The sample space - Elements of combinatorial analysis. Stirling's formula - The simplest occupancy and ordering problems - Combination of events - Conditional probability. Statistical independence - The binomial and the Poisson distributions - The normal approximation to the binomial distribution - Unlimited sequences of Bernoulli trials - Random variables; expectation - Laws of large numbers - Integral valued variables. Generating functions - Recurrent events: theory - Recurrent events: applications to runs and renewal theory - Random walk and ruin problems - Markov chains - Algebraic treatment of finite Markov chains - The simplest time-dependent stochastic processes.

Abstract/Sommario: Scientific method-truth; mathematics and logic-validity; outlines of some useful mathematical models - Optimization, programming, and game theory - Probability, applications, statistics, and queueing theory - An essay - Index.

Abstract/Sommario: Introduction - Probability - Sampling - Inventory - Replacement - Waiting lines - Competitive strategies - Allocation - Sequencing - Dynamic programming - Appendices.

Abstract/Sommario: The general decision problem - The probability background - Uniformly most powerful tests - Unbiasedness: theory and first applications - Unbiasedness: applications to normal distributions; confidence intervals - Invariance - Linear hypotheses - The minimax principle - Appendix.

Abstract/Sommario: Definition of information - Properties of information - Inequalities of information theory - Limiting properties - Information statistics - Multinomial populations - Poisson populations - Contingency tables - Multivariate normal populations - The linear hypothesis - Multivariate analysis; the multivariate linear hypothesis - Multivariate analysis: other hypothesis - Linear discriminant functions - References.