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Questions (15)

 3 What is the significance of $[t/ \Delta t]$ in Ross' definition of Brownian motion? 3 How to show that $\rho(x,y) := \inf\limits_{f\in \mathcal{F}}\{f(x,y)\}$ defines a metric on $X$? 3 Does the series $f'(x) = \sum\limits_{n = 1}^{\infty} -\frac{1}{n} e^{-nx} \cos(e^{-nx})$ converge uniformly or pointwise on $\mathbb{R}$? 2 Why is there an unstrict inequality in this proof? (uniform convergence of sequence of functions) 1 How to derive the sample size $n$ to achieve $P(\text{type 2 error}) = \beta$ for a two-tailed test?

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 +5 How to derive the sample size $n$ to achieve $P(\text{type 2 error}) = \beta$ for a two-tailed test? +15 What is the significance of $[t/ \Delta t]$ in Ross' definition of Brownian motion? +5 How to show that $F(g)(x) = \int_{0}^x \cos(\frac{g(t)}{2}) dt$ has a unique fixed point? +5 How to show that $\rho(x,y) := \inf\limits_{f\in \mathcal{F}}\{f(x,y)\}$ defines a metric on $X$?

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 0 real-analysis × 4 0 elementary-set-theory 0 proof-explanation × 2 0 sequences-and-series 0 probability × 2 0 convergence 0 markov-chains × 2 0 calculus 0 notation × 2 0 continuity

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