Abstract: We derive the gravitational equations of motion of general theories of gravity from thermodynamics applied to a local Rindler horizon through any point in spacetime. Specifically, for a given theory of gravity, we substitute the corresponding Wald entropy into the Clausius relation. Our approach works for all diffeomorphism-invariant theories of gravity in which the Lagrangian is a po...

References 1. Salari K, Watkins H, Ashley EA. Personalized medicine: hope or hype?. Eur Heart J 2012;33:1564–1570. 2. Phimister EG, Feero WG, Guttmacher AE. Realizing genomic medicine. N Engl J Med 2012:366:757–759. 3. Wald NJ, Hackshaw AK, Frost CD. When can a risk factor be used as a worthwhile screening test? BMJ 1999;319:1562–1565. 4. Wald NJ, Morris JK, Rish S. The efficacy of combining se...

Cognitive psychologists commonly strive to infer processes/constructs from chronometric data. In this regard, diffusion modeling of response times (RTs) from correct and erroneous responses using the Wiener distribution has become popular because it provides a set of interpretable parameters. An important precondition to estimate these parameters, however, is a sufficient number of RTs from err...

This article describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function. Our results are built on extensions of previous work by Cheng and Iles for two-sided and one-sided bands, respectively. Cheng and Iles used Wald statistics with (expected) Fisher information. We consider three alternatives—Wald statistics with o...

2 Winsor, C. P., and Clark, A. B., Ibid., 22, 400 (1936); Hecht, S., Haig, Ch., and Chase, A. M., Jour. Gen. Physiol., 20, 831 (1937); Wald, G., and Clark, A. B., Ibid., 21, 93 (1937); Hecht, S., these PROCEEDINGS, 23, 227 (1937). 3 Rowland, W. M., and Sloan, L. L., Jour. Opt. Soc. Am., 34, 601 (1944); Hecht, S., and Yun Hsia, Ibid., 35, 261 (1945). " Wolf, E., and Zerrahn-Wolf, G., Jour. Gen. ...