ST SCI 3100 Final Exam
1. A general theorem states that for sample designs with a xed sample size,
the sum of the rst-order inclusion probabilities over the population is equal
to the sample size. That is, N i = n, where as usual N and n are the
On Turings denominator for the
November 2, 2012
In our capture-recapture setup, we have the true population size = N , number
of trapping occasions k , total number of captures m, and number of individuals
captured n. In m
Department of Statistical
What is Computationally Intensive Statistics?
Journal Computational Statistics and Data Analysis:
Bayesian computing, bioinformatics, computational econo
19 October 2011
(1) If the strata are perfectly homogeneous then the variance of the stratified-sample-based estimator of
the mean is zero; use equation (3) to show that this is true under post-stratification.
ST 3100 Notes
Stratied random sampling: H strata, with sizes N1 , . . . , NH , H=1 Nh = N .
Draw SRS of size nh from stratum h, independently across strata. Estimand
is := N entire popn xi .
Stratied estimator or stratied mean:
Adaptive cluster sampling point estimator
where N is the total number of units in the population, n1 is the number of units in the
initial simple random sample, and mk is the number of units in the network containing the
k th samp