Contents Notes |
pt. I. Elementary statistics and probability theory. Introduction -- Certain definitions used in statistics -- Frequency distributions in one dimension -- Combinatorial mathematics -- Elementary probability theory -- Probability distributions in one dimension -- Generating and characteristic functions -- Binomial, negative binomial, hypergeometric and related distributions -- Poisson, exponential and Welbull distributions -- Normal distribution -- Probability distributions in two or more dimensions -- Analysis of pairs of measurements, regression theory, orthogonal polynomials, time series -- Sampling distributions -- Statistical inference, significance tests and confidence intervals -- Design of experiments and analysis of variance -- Finite differences. Interpolation -- Sequential analysis, sampling inspection, quality control, reliability theory -- Short table of integrals. Some mathematical relationships -- pt. II. Tables. Discrete distribution functions -- Continuous distribution functions -- Factorials and their logarithms -- Tolerance factors for normal populations -- Random numbers -- Powers, roots, reciprocals -- Natural trigonometric functions, natural and common logarithms. |