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Let (Xn) be adapted to (Fn) with 0 ≤ Xn ≤ 1. Let α, β > 0 with α + β = 1. Suppose X0 = x0 and P(Xn+1 = α + βXn|Fn) = Xn, P(Xn+1 = βXn|Fn) = 1 - Xn
Show that Xn → X∞ a.s., where P(X∞ = 1) = x0 and P(X∞ = 0) = 1- x0
This problem is basically from Mathematics as well as it is about martingale calculation
How many students from each course will the clever student offer her service to maximize her profit, if she does not want to spend more than 50 hours on the assignments?
Find the set of fundamental solutions by using the differential operator method: [D2 - (2α - 1)D + α (α - l)y = 0, t ∈ (0, ∞); and determine the values of α, for which all so
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Q is epi in the category of rings. (ii) Show that kernels are monic and are unique up to isomorphism. (iii) In Groups, show that monics are injections and kernels are monics
Form a new set of nine symbols by grouping together blocks of two symbols, AA, AB, AC, BA, BB, BC, CA, CB, and CC. Construct a Huffman code for these nine symbols, assuming
A student has computed that it takes an average (mean) of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning cl
These probabilities represent the probability of one container out of the total sample having the specified characteristics. Half the containers are filled on machine I and
Reflect on all that you have learned in this course. Summarize your financial situation and plans. Be sure to include plans for budgeting, saving, debt and credit, taxes and
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