Example 6-24. Use the relation E(AXª+BX'+CX°)² >0, X being a random variable with E(X) = 0, E denoting the mathematical expectation, to show that Hatb Hate Matb H2b Hotc 20, Hn denoting the nth moment about mean. ... Hate Ho+c Hence or otherwise show that Pearson Beta-coefficients satisfy the inequality B2 – B1 – 1 20. Also deduce that B22 1.

MATLAB: An Introduction with Applications
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Example 6-24. Use the relation E(AXª+BX'+CX°)² >0, X being a random variable with
E(X) = 0, E denoting the mathematical expectation, to show that
Hatb
Hate
Hatb
H2b
20, H„ denoting the nth moment about mean.
Hotc
(*)
Hate
Hote
Hence or otherwise show that Pearson Beta-coefficients satisfy the inequality B2 – B1 – 1
20. Also deduce that B22 1.
Transcribed Image Text:Example 6-24. Use the relation E(AXª+BX'+CX°)² >0, X being a random variable with E(X) = 0, E denoting the mathematical expectation, to show that Hatb Hate Hatb H2b 20, H„ denoting the nth moment about mean. Hotc (*) Hate Hote Hence or otherwise show that Pearson Beta-coefficients satisfy the inequality B2 – B1 – 1 20. Also deduce that B22 1.
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