For a random walk with drift, the best forecast of tomorrow's price is today's price plus a drift term. One could think of the drift as measuring a trend in the price (perhaps reflecting long-term ...
Let {Xk: k ≥ 1} be a sequence of independent, identically distributed random variables with $EX_{1} = \mu < 0$. Form the random walk {Sn : n ≥ 0} by setting S0 ...
Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...
Asymptotic Probabilities of an Exceedance over Renewal Thresholds with an Application to Risk Theory
Let $(Y_{n}, N_{n})_{n\geq 1}$ be independent and identically distributed bivariate random variables such that the $N_{n}$ are positive with finite mean $\nu$ and the ...
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