Monotone additive models are useful in estimating productivity curves or analyzing disease risk where the predictors are known to have monotonic effects on the response. Existing literature mainly focuses on univariate monotone smoothing. Available methods for the estimation of monotone additive models are either difficult to interpret or have no...
This dissertation examines limiting efficiencies of
quadratic unbiased estimators for the variance in the
two variance component mixed model. The set of
quadratic unbiased estimators considered includes the
minimal complete class. A theorem is proved which shows
that, in certain cases, a relatively simple expression
converges to the same value...
A new estimator of effective area surveyed is proposed for use
in estimating population sizes or densities. The estimator is based
on the cumulative distribution function for the observed detection
areas and can be used with the data arising from either a line
transect or a variable circular plot survey....
The National Agricultural Statistical Service (NASS) conducts quarterly surveys for estimation of some primary commodities produced on farms and ranches. The commodities often have highly skewed distributions with a few farms producing very large amounts. NASS uses dual sampling frames comprised of the list frame for efficient stratification and the...
Common estimators of the mean g(θ) = Jx dFθ(x) in skewed distribution models may be sensitive to contamination by a few large observations. It is then desirable to consider robust estimators g(θ) .The approach of Hampel (1968), who defines an estimator θ for the parameter vector θ to be optimal...