Some Distributions Involving Bessel Functions
Some Distributions Involving Bessel Functions
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In our eReader you can find the full English version of the book. Read Some Distributions Involving Bessel Functions 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 Some Distributions Involving Bessel Functions
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1) of jj. Is to examine the expectation of y^ = e^ when z has the density (3. 3).
Use the asymptotic expansion (2. 10) for large values of z to write K, ([nC(z)/4] ) as proportional to \, [C(z)]"^e"^'"^^^^^' C([naz)M]*'^ (5. A) where ?(•) denotes the summand in C(z) of (2. 10). From (3. 3) the density of z times e^ may be written using (2. 10) as proportional to e ±00 J the convergence of (5. 5) depends on the exponent (isn + q)z - i5n[(z-m)^ + ^ . (5. 6) For any q > 0, (5. 6) approaches +« as ...z -*■ +". And so the fxmction (5. 2^ is divergent to -H» if q > 0. When q as z -> -«>.
The proof just given yields useful information about partial moments of iJ. : if q 2. ~"» (5*6) is bounded for all z -n. Consequently, in two action decision o — problems with acts whose expected values are linear in u.
What to read after Some Distributions Involving Bessel Functions?
You can find similar books in the "Read Also" column, or choose other free books by G M Kaufman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
1) of jj. Is to examine the expectation of y^ = e^ when z has the density (3. 3).
Use the asymptotic expansion (2. 10) for large values of z to write K, ([nC(z)/4] ) as proportional to \, [C(z)]"^e"^'"^^^^^' C([naz)M]*'^ (5. A) where ?(•) denotes the summand in C(z) of (2. 10). From (3. 3) the density of z times e^ may be written using (2. 10) as proportional to e ±00 J the convergence of (5. 5) depends on the exponent (isn + q)z - i5n[(z-m)^ + ^ . (5. 6) For any q > 0, (5. 6) approaches +« as ...z -*■ +". And so the fxmction (5. 2^ is divergent to -H» if q > 0. When q as z -> -«>.
The proof just given yields useful information about partial moments of iJ. : if q 2. ~"» (5*6) is bounded for all z -n. Consequently, in two action decision o — problems with acts whose expected values are linear in u.
What to read after Some Distributions Involving Bessel Functions?
You can find similar books in the "Read Also" column, or choose other free books by G M Kaufman to read onlineMoreLess
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