388 citations · 1k across the 46 of their papers we have counts for
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Error estimation in the method of quasi-optimal weights
A. D. Morozov, A. V. Lokhov, F. V. Tkachov
We examine the problem of construction of confidence intervals within the basic single-parameter, single-iteration variation of the method of quasi-optimal weights. Two kinds of di…
Statistical criteria for possible indications of new physics in tritium -decay spectrum
Aleksei Lokhov, Fyodor Tkachov
The method of quasi-optimal weights is applied to constructing (quasi-)optimal criteria for various anomalous contributions in experimental spectra. Anomalies in the spectra could…
Confidence intervals with a priori parameter bounds
A. V. Lokhov, F. V. Tkachov
We review the methods of constructing confidence intervals that account for a priori information about one-sided constraints on the parameter being estimated. We show that the so-c…
Application of quasi-optimal weights to searches of anomalies. Statistical criteria for step-like anomalies in cumulative spectra
A. V. Lokhov, F. V. Tkachov, P. S. Trukhanov
The statistical method of quasi-optimal weights can be used to derive criteria for searches of anomalies. As an example we derive a convenient statistical criterion for step-like a…
Optimal upper bounds for non-negative parameters
Fyodor V. Tkachov
Using the techniques of [arXiv:0911.4271], upper bounds for a given confidence level are modified in an optimal fashion to incorporate the a priori information that the parameter b…
Optimal confidence intervals for bounded parameters (a correct alternative to the recipe of Feldman and Cousins)
Fyodor V. Tkachov
A priori bound for the parameter to be estimated is incorporated into confidence intervals within frequentistic approach in a straightforward and optimal fashion, ensuring the best…