Concave Renewal Functions do not Imply DFR Interrenewal Times

Concave Renewal Functions Do Not Imply Dfr Interrenewal Times

Brown (1980), (1981) proved that the renewal function is concave if the interrenewal distribution is DFR (decreasing failure rate), and conjectured the converse. This note settles Brown’s conjecture with a class of counterexamples. We also give a short proof of Shanthikumar’s (1988) result that the DFR property is closed under geometric compounding.

Ä Study of Renewal Processes with Imrl and Dfr Interarrival times By

Behavioral Inconsistencies Do Not Imply Inconsistent Strategies

=1858769 Gigerenzer, G., and Gaissmaier, W. (2011). Heuristic decision making. Ann. Rev. Psychol. 62, 451–482. Gonzalez, C., and Dutt, V. (2011). Instance-based learning: integrating sampling and repeated decisions from experience. Psychol. Rev. 118, 523–551. Hertwig, R. (2011). The psychology and rationality of decisions from experience. Synthese. doi: 10.1007/

Inconsistency and Redundancy Do Not Imply Irrelevance

Relevant information reduces algorithmic effort. In constraint satisfaction, information that a priori appears relevant may prove to be just the opposite.

Categorical results do not imply categorical perception.

Categorical perception refers to the ability to discriminate betweenbut not within-category differences along a stimulus continuum. Although categorical perception was thought to be unique to speech, recent studies have yielded similar results with nonspeech continua. The results are usually interpreted in terms of categorical, as opposed to continuous, perception of both speech and nonspeech c...