Asymptotic expansions for the sum of the series used in sequential analysis

DOI10.1080/00949658308810624zbMath0498.62068OpenAlexW2075153597MaRDI QIDQ3963899

Seiji Nabeya

Publication date: 1983

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949658308810624

zbMATH Keywords

Riemann zeta functionasymptotic expansionsnormal distributionEuler-Maclaurin summation formula

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Sequential statistical analysis (62L10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• A nonlinear renewal theory with applications to sequential analysis. I
• A nonlinear renewal theory with applications to sequential analysis II
• Asymptotic expansions for the error probabilities of some repeated significance tests
• Repeated likelihood ratio tests
• Asymptotic expansions in non-linear renewal theory
• Frequentist properties of Bayesian sequential tests
• Repeated Significance Tests for a Normal Mean
• INEQUALITIES FOR THE NORMAL INTEGRAL INCLUDING A NEW CONTINUED FRACTION

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