Threshold Models for Rainfall and Convection
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چکیده
1. Estimates for the proof 2 1.1. Estimating the error in terms of ξk and ζk 2 1.2. ∑N−1 k=1 ETN [|ξk|] = O(λ−1/2) 3 1.3. ETN [ζ 2 k ] = O(λ −1/2) 3 1.4. ETc [sup0≤t≤T Et] = O(λ−1/2) 4 2. Proof of Lemma 4.2 5 3. Proof of Lemma 4.3 6 4. Calculation of the Moments of the jumping time and First Passage time using the Fokker-Planck equation 7 4.1. The Moments of the Jumping Time τ k 7 4.2. The moments of the first passage time given initial distribution 10 5. Supplementary Figures 12
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