Changepoint problems and contiguous alternatives
We consider U-statistic type processes which can be used for detecting a changepoint in a random sequence. The asymptotic results when all random variables are assumed to have the same distribution are already known. We derive the limiting distribution of such processes under contiguous alternatives.
|Keywords||Changepoint problem, continguity, Gaussian processes, U-statistics, weak convergence, weight functions, Wiener process|
|Journal||Statistics and Probability Letters|
Szyszkowicz, B. (1991). Changepoint problems and contiguous alternatives. Statistics and Probability Letters, 11(4), 299–308. doi:10.1016/0167-7152(91)90039-T