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 Advanced Statistics Advanced Probability and Statistics Math Forum

 April 18th, 2017, 02:15 AM #1 Newbie   Joined: Apr 2017 From: Andhra Pradesh, India Posts: 2 Thanks: 0 Inverse of sum of error functions How to find the inverse function of f(x)=sum_{i=0}^{4} Ai[1+erf((x-bi)/ci)] April 18th, 2017, 02:31 AM   #2
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 Originally Posted by shriramtej How to find the inverse function of $f(x) = \sum_{i=0}^{4} A_i \left[1+ erf\left(\dfrac{x - b_i}{c_i}\right)\right]$
. April 19th, 2017, 10:13 PM #3 Newbie   Joined: Apr 2017 From: Andhra Pradesh, India Posts: 2 Thanks: 0 The exact function is f(x)=sgn(x)\sqrt[d]{u\sum\limits_{i=1}^{4} \frac{\sqrt{\pi}a_i c_i}{2} [1+erf(\frac{|x|-b_i}{c_i})]} where d and u are positive constants. x is a complex random variable with magnitudes in the range [0,1]. The exact values are a1 = 0.19; b1 = 0.2512; c1 = 0.003164; a2 = 0.1; b2 = 0.1142; c2 = 0.006324; a3 = 0.14; b3 = 0.3322; c3 = 0.003054; a4 = 0.02778; b4 = 0.2211; c4 = 0.151; Tags error, functions, inverse, sum 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 v8archie Calculus 4 August 18th, 2014 02:17 AM Relmiw Advanced Statistics 2 February 13th, 2012 02:57 PM hateqq Calculus 0 October 28th, 2010 11:28 PM ElMarsh Applied Math 10 May 13th, 2009 11:12 AM farleyknight Abstract Algebra 2 February 15th, 2008 05:22 PM

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