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 May 24th, 2015, 06:18 AM #1 Newbie   Joined: Nov 2013 Posts: 19 Thanks: 0 Seeking approximation method of a probability expression. Dear all, Given: $P^R_n(i) = \beta ^ \left( i-m \right) ( 1 - \beta ) ^ \left( n-i+m \right) \binom{n-m}{i-m}$ and $\phi$ Want: $I^{min} _n = min \{ j: \sum_{i=j}^n P^R_n(i) < \phi \}$ I mean if there exists any simple ways of approximating or calculating the result of $\sum_{i=j}^n P^R_n(i)$. Or approximating $\sum_{i=j}^n P^R_n(i)$ withgut multiplying one after one of the multipliers of the factorial. May 24th, 2015, 03:13 PM #2 Global Moderator   Joined: May 2007 Posts: 6,754 Thanks: 695 Your statement is somewhat confusing. What role does m have in $\displaystyle P_n^R(i)$? May 24th, 2015, 07:06 PM #3 Newbie   Joined: Nov 2013 Posts: 19 Thanks: 0 $m$ is also a given number less than $n$. May 24th, 2015, 07:31 PM   #4
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 Originally Posted by rubis  Dear all, Given: $P^R_n(i) = \beta ^ \left( i-m \right) ( 1 - \beta ) ^ \left( n-i+m \right) \binom{n-m}{i-m}$ and $\phi$ Want: $I^{min} _n = min \{ j: \sum_{i=j}^n P^R_n(i) < \phi \}$ I mean if there exists any simple ways of approximating or calculating the result of $\sum_{i=j}^n P^R_n(i)$. Or approximating $\sum_{i=j}^n P^R_n(i)$ withgut multiplying one after one of the multipliers of the factorial.

I mean if there exists any simple ways of approximating or calculating the result of $\sum_{i=j}^n P^R_n(i)$.
Or approximating $\binom{n-m}{i-m}$ without multiplying one after one multipliers of the factorial. May 24th, 2015, 08:42 PM #5 Newbie   Joined: Nov 2013 Posts: 19 Thanks: 0 I think this website has been hacked, because I have found someone had modified my message! Tags approximation, expression, method, probability, seeking Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post ikiller Advanced Statistics 1 May 21st, 2013 09:45 PM Saarshai Advanced Statistics 4 August 17th, 2012 05:31 PM dthomas86 Algebra 3 January 16th, 2012 10:35 AM 501622731 Applied Math 3 April 7th, 2009 01:54 AM

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