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math.ST2013
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…
math.ST2013★ 2 cited
Contribution to the theory of Pitman estimators
Abram M. Kagan, Tinghui Yu, Andrew Barron +1
New inequalities are proved for the variance of the Pitman estimators (minimum variance equivariant estimators) of θconstructed from samples of fixed size from populations F(x-θ).…
math.ST2013
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…