In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the post-stratification approach. We also compare the efficiency of resulting estimators together with Murthy's estimator. We show that in despite of general belief, the strategy consisting of inverse s...

In the Big Data era, sampling remains a central theme. This paper investigates characteristics of inverse on two different datasets (real and simulated) to determine when big data become too small for be used examine impact rate subsamples. We find that method, using appropriate subsample size both mean proportion parameters, performs well with smaller dataset than through simulation study real...

We present a systematical analysis of uncertainties in the helioseismological determination of quantities characterizing the solar structure. We discuss the effect of errors on the measured frequencies, the residual solar model dependence and the uncertainties of the inversion method. We find Y ph = 0.238 − 0.259, R b /R ⊙ = 0.708 − 0.714 and ρ b = (0.185 − 0.199) gr/cm 3 (the index b refers to...

We study the effect of additive noise to inversion FIOs associated a diffeomorphic canonical relation. use microlocal defect measures measure power spectrum in phase space and analyze how that is transformed under inversion. In general, white noise, for example, mapped depending on position direction. particular, we compute standard deviation, locally, added as function deviation data. As an Ra...

inverse sampling design is generally considered to be appropriate technique when the population is divided into two subpopulations, one of which contains only few units. in this paper, we derive the horvitz-thompson estimator for the population mean under inverse sampling designs, where subpopulation sizes are known. we then introduce an alternative unbiased estimator, corresponding to post-str...

Inverse sampling design is generally considered to be appropriate technique when the population is divided into two subpopulations, one of which contains only few units. In this paper, we derive the Horvitz-Thompson estimator for the population mean under inverse sampling designs, where subpopulation sizes are known. We then introduce an alternative unbiased estimator, corresponding to post-st...

The study proposes an inversion method applicable to observations of deglacial land uplift and tilt near the margin of a major Pleistocene ice-sheet. This information allows the determination of the cross-section of the ice-sheet and the calculation of the thickness of the lithosphere. The method is applied to the Pleistocene glaciations in Fennoscandia and Laurentia and yields similar lithosph...