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The scope of mathematical statistics
CHAPTER PAGI 21 The coeﬂicients of the Type B series
The binomial description of frequency
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approximation arithmetic mean arrays of y’s assume Bernoulli Bernoulli distribution binomial Biometrika biorthogonal system centroid Charlier coeﬁcient constant correlation coeﬂicient correlation ratio correlation surface corresponding deﬁned derived diﬁerent dispersion ellipse equal equation example expected value exponential function fairly obvious ﬁnd ﬁnding ﬁnite ﬁrst term ﬁt formula frequency curves frequency distribution func give given Gram-Charlier indeﬁnitely inﬁnitesimals of higher integral interval involved Karl Pearson large number limit linear regression mathematical expectation mathematical statistics mean value means of arrays measure Moivre-Laplace theorem normal curve normal distribution normal frequency number of heads number of successes number of white observed frequency obtained ordinates parameters Poisson exponential population prob proba probability theory problem quency random sample regression method relative frequency signiﬁcant skewness standard deviation standard error taken at random theoretical distribution theoretical frequency theory tion trials Type A series variables variates white balls xi’s