4 citations · 5 across the 19 of their papers we have counts for
8 papers · 1 filter
The Optimality of a Nested Generalized Pairwise Group Testing Procedure
Yaakov Malinovsky, Viktor Skorniakov
We study the problem of identifying defective units in a finite population of \( n \) units, where each unit \( i \) is independently defective with known probability \( p_i \). Th…
Proportional Closeness Estimation of Probability of Contamination Under Group Testing
Yaakov Malinovsky, Shelemyahu Zacks
The paper is focused on the problem of estimating the probability of individual contaminated sample, under group testing. The precision of the estimator is given by the probabi…
Sequential estimation in the group testing problem
Gregory Haber, Yaakov Malinovsky, Paul Albert
Estimation using pooled sampling has long been an area of interest in the group testing literature. Such research has focused primarily on the assumed use of fixed sampling plans (…
On the structure of UMVUEs
Abram M. Kagan, Yaakov Malinovsky
In all setups when the structure of UMVUEs is known, there exists a subalgebra (MVE-algebra) of the basic -algebra such that all -measurable statistics with fin…
A note on the minimax solution for the two-stage group testing problem
Yaakov Malinovsky, Paul S. Albert
Group testing is an active area of current research and has important applications in medicine, biotechnology, genetics, and product testing. There have been recent advances in des…
Partially complete sufficient statistics are jointly complete
Abram M. Kagan, Yaakov Malinovsky, Lutz Mattner
The theory of the basic statistical concept of (Lehmann-Scheffé-)completeness is perfected by providing the theorem indicated in the title and previously overlooked for several dec…
On the Nile Problem by Sir Ronald Fisher
Abram M. Kagan, Yaakov Malinovsky
The Nile problem by Ronald Fisher may be interpreted as the problem of making statistical inference for a special curved exponential family when the minimal sufficient statistic is…
Monotonicity in the Sample Size of the Length of Classical Confidence Intervals
Abram M. Kagan, Yaakov Malinovsky
It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decrease with the sample size. The proofs are b…