MATH 2P82 MATHEMATICAL STATISTICS (Lecture Notes)
MATH 2P82MATHEMATICAL STATISTICS (Lecture Notes) c Jan Vrbik23Contents1 PROBABILITY REVIEW7Basic 7Binomial 7Multinomial 7Random Experiments (Basic Definitions).............. 7Sample 8Set 8Boolean 8Probability of 8Probability 9Important 9Probability 9Product 9Conditional 9Total-probability 10Discrete Random 10Bivariate (joint) 11Conditional 11Multivariate 11Expected Value of a 11Expected values related 12Moments (univariate)........................ 12Moments (bivariate or joint ).
(number of combinations). This will also be called the binomial coeffi-cient. If we can duplicate (any number of times), and count the arrangements: nr Binomial expansion (x+y) n= Xn i=0 ³n i ´ x−iyi Multinomial expansion (x+y+z)n X i,j,k≥0 i+j+k=n µ n i,j,k ¶ xiyjzk (x+y+z+w)n= X i,j,k,c≥0 i+j+k+c=n µ n i,j,k,c ¶ xiyjzkwc etc ...
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