F. Torcaso

activity

20032022

most citedTo replace or not to replace in finite population sampling

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2022

A Geometric(1/2) Distribution Associated with Record Breaking

Daniel Q. Naiman, Fred Torcaso

Let $X_{i}, i = 0, 1, \dots$ be a sequence of iid random variables whose distribution is continuous. Associated with this sequence is the sequence $(i, X_{i}), i = 0, 1, \dots$ . Let ${\cal R}_{…

math.ST2016★ 1 cited

To replace or not to replace in finite population sampling

Daniel Q. Naiman, Fred Torcaso

We revisit the classical result in finite population sampling which states that in equally-likely "simple" random sampling the sample mean is more reliable when we do not replace a…

math.PR2003

Asymptotic analysis via Mellin transforms for small deviations in $L^{2}$ -norm of integrated Brownian sheets

James Allen Fill, Fred Torcaso

We use Mellin transforms to compute a full asymptotic expansion for the tail of the Laplace transform of the squared $L^{2}$ -norm of any multiply-integrated Brownian sheet. Through r…

A Geometric(1/2) Distribution Associated with Record Breaking

To replace or not to replace in finite population sampling

Asymptotic analysis via Mellin transforms for small deviations in L2-norm of integrated Brownian sheets

Asymptotic analysis via Mellin transforms for small deviations in $L^{2}$ -norm of integrated Brownian sheets