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CHAPTER PAGE I The Nature of the Problems and Underlying Concepts of Mathematical Statistics
Two general types of problems
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arithmetic mean arrays of y's assigned assume Bernoulli Bernoulli distribution binomial Biometrika centroid Charlier correlation coefficient correlation ratio correlation surface corresponding derived dispersion drawing ellipse equal equation example expected value exponential function fairly obvious formula frequency curves frequency distribution func give given Gram-Charlier Hence inequality infinitesimals of higher integral interval involved Karl Pearson large number Lexis Lexis ratio limit linear linear regression mathematical expectation mathematical statistics mean value measure Moivre-Laplace theorem moments normal curve normal distribution number of heads number of successes number of white observed frequency obtained ordinates parameters Poisson exponential population present monograph prob probability theory probable error problem quency random sample rare event skewness standard deviation standard error taken at random Tchebycheff theoretical distribution theoretical frequency theory tion tive frequencies trials Type A series underlying probability variables variates white balls write