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On Wald’s equation. Discrete time case

https://doi.org/10.1007/bfb0119299
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6/6 checkable references clean · checked 2026-08-10

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

10 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 6 checked references that resolve
resolves10.1007/BF02394573
Extrapolation and interpolation of quasi-linear operators on martingales
resolves10.1214/aop/1176994574
Asymptotic Comparisons of Functionals of Brownian Motion and Random Walk
resolves10.1214/aop/1176991790
A Best Possible Improvement of Wald's Equation
resolves10.1007/BFb0006418
A martingale approach to first passage problems and a new condition for Wald's identity
resolves10.1007/BF01047575
Inequalities for tails of adapted processes with an application to Wald's lemma
The 10 references without a DOI — listed, not checked
no DOI — not checkedAzema (J.), Gundy (R.F.), Yor (M.) (1979). Sur l’intégrabilitée uniforme des martingales continues. Séminaire de Probabilités XIV, Lecture Notes in Mathematics, 784, 53–61, Springer-Verlag, Berlin.
no DOI — not checkedSaltchouk (L.I.) (1980). Optional martingales. Mathematical Sbornik, 112 (154), N 4 (8), 483–521 (English translation: (1981) Vol. 40, N4, 435–468).
no DOI — not checkedFeller, W. (1971). An Introduction to Probability Theory and Its Applications, vol. 2, Wiley, New York.
no DOI — not checkedLiptser (R.Sh.), Shiryaev (A.N.) (1986). Theory of Martingales, Kluwer Academic Publ.
no DOI — not checkedMeyer (P.-A.) (1972). Martingales and Stochastic Integrals I. Lecture Notes in Mathematics, 284, Springer-Verlag.
no DOI — not checkedNoviko (A.A.) (1971). On the moment of stopping of a Wiener process. Teor. Veroythn. Primen., 16, N3, 458–465. (English translation: pp. 449–456).
no DOI — not checkedNovikov (A.A.) (1981b). Martingale approach to first passage problems of nonlinear boundaries. Proc. Steklov Inst. 158, 130–158.
no DOI — not checkedNovikov (A.A.) (1982). On the time of crossing of a one-sided nonlinear boundary. Theor. Prob. Appl., 27, N4, 668–702. (English translation).
no DOI — not checkedVallois (P.) (1991). Sur la loi du maximum et du temps local d’une martingale continue uniformément intégrable. Preprint, Université de Paris VI.
no DOI — not checkedWald (A.) (1947). Sequential Analysis, Wiley, New York;
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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