Multivariate One-Way Classification Model With Random Effects
Multivariate One-Way Classification Model With Random Effects
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In our eReader you can find the full English version of the book. Read Multivariate One-Way Classification Model With Random Effects Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Multivariate One-Way Classification Model With Random Effects
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xz™ x.
then we need to find the limiting distribution of ch (HE - ) 3 s n as n •> oo. Since we can write E = Y Y', where Y = (y, v n n' n x l (n) — x x win: x trj i —iv .
n (n) (n) % (n) -1 I 2 ' -•• 'le ) and ^i ~ N m ( -^' n ): i = l»2,...,e, inde- pendently, we can restate the problem as that of determining the limiting distribution of ch (H (Y Y' ) ). Consider the s n n following elementary result.
Lemma 3.6.1 : Ifu ~ N(0,l/n), then u — — > u, where u is a degenerate random variable with a ...ll of its probability at zero.
We also need the following results, the first of which is well known as the continuity theorem (see, for example, Breiman [1968:236] ) .
68 Lemma 3.6.2 : Let x, ,x» ,x_ , . . . be a sequence of random vectors. Then x > x if and only if — n — J lim E[exp(ix't)] = E[exp(ix't)] n->x.: i -, j r (n) (n) (n) , , , j = 1 , 2 , . . . ,m, and suppose {x, ,X-> > • • • t i£ •> are mutually independent for all n.
What to read after Multivariate One-Way Classification Model With Random Effects?
You can find similar books in the "Read Also" column, or choose other free books by Schott, James R. to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
xz
then we need to find the limiting distribution of ch (HE - ) 3 s n as n •> oo. Since we can write E = Y Y', where Y = (y, v n n' n x l (n) — x x win: x trj i —iv .
n (n) (n) % (n) -1 I 2 ' -•• 'le ) and ^i ~ N m ( -^' n ): i = l»2,...,e, inde- pendently, we can restate the problem as that of determining the limiting distribution of ch (H (Y Y' ) ). Consider the s n n following elementary result.
Lemma 3.6.1 : Ifu ~ N(0,l/n), then u — — > u, where u is a degenerate random variable with a
We also need the following results, the first of which is well known as the continuity theorem (see, for example, Breiman [1968:236] ) .
68 Lemma 3.6.2 : Let x, ,x» ,x_ , . . . be a sequence of random vectors. Then x > x if and only if — n — J lim E[exp(ix't)] = E[exp(ix't)] n->x.: i -, j r (n) (n) (n) , , , j = 1 , 2 , . . . ,m, and suppose {x, ,X-> > • • • t i£ •> are mutually independent for all n.
What to read after Multivariate One-Way Classification Model With Random Effects?
You can find similar books in the "Read Also" column, or choose other free books by Schott, James R. to read onlineMoreLess
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