scholarly journals Ratio comparisons of supremum and stop rule expectations

1981 ◽  
Vol 56 (2) ◽  
pp. 283-285 ◽  
Author(s):  
Theodore P. Hill ◽  
Robert P. Kertz
Keyword(s):  
Stop Rule

Study Stop Rule

2020 ◽  
Author(s):  
Keyword(s):  
Stop Rule

Comparison of optimal value and constrained maxima expectations for independent random variables

1986 ◽  
Vol 18 (02) ◽  
pp. 311-340
Author(s):  
Robert P. Kertz
Keyword(s):  
Random Variables ◽  
Poisson Approximation ◽  
Independent Random Variables ◽  
Problem Analysis ◽  
Universal Inequalities ◽  
Optimal Value ◽  
Approximation Type ◽  
Stop Rule ◽  
Uniformly Bounded ◽  
Bounded Sequences

For all uniformly bounded sequences of independent random variablesX1, X2,···, a complete comparison is made between the optimal valueV(X1, X2, ···) = sup {EXt:tis an (a.e.) finite stop rule forX1,X2, ···} and, whereMi(X1,X2, ···) is theith largest order statistic forX1, X2, ··· In particular, fork>1, the set of ordered pairs {(x,y):x=V(X1, X2,···) andfor some independent random variablesX1, X2, ··· taking values in [0, 1]} is precisely the set, whereBk(0) = 0,Bk(1) = 1, and forThe result yields sharp, universal inequalities for independent random variables comparing two choice mechanisms, the mortal&s value of the gameV(X1, X2,···) and the prophet&s constrained maxima expectation of the game. Techniques of proof include probability- and convexity-based reductions; calculus-based, multivariate, extremal problem analysis; and limit theorems of Poisson-approximation type. Precise results are also given for finite sequences of independent random variables.

DIFFERENCE IN THE BEHAVIOR OF RIGHT-TURNING VEHICLES AND THEIR EFFECT ON SAFETY AT UNSIGNALIZED INTERSECTIONS IN MALAYSIA

2015 ◽  
Vol 76 (14) ◽  
Author(s):  
Ashar Ahmed ◽  
Ahmad Farhan Mohd Sadullah ◽  
Ahmad Shukri Yahya
Keyword(s):  
Descriptive Analysis ◽  
Stopping Rule ◽  
Road Vehicles ◽  
Unsignalized Intersections ◽  
Behavioral Observations ◽  
Minor Road ◽  
Stop Rule ◽  
Turning Maneuver ◽  
Larger Sample ◽  
Road Segments

Intersections are more prone to accidents as compared to straight road segments and vehicles that make right-turning maneuver are the ones which are more likely to be involved in an angle collision. Therefore, this study investigates their behavior at unsignalized intersections in Malaysia. The aim of this paper is to evaluate the compliance with the stop rule, use of turning indicator and right-turning behavior of minor road vehicles. All the behavioral observations were made with respect to two vehicle types which were ‘motorcycles’ and ‘others’. Descriptive analysis was presented and χ²-test was performed to investigate the association between the variables. It was found that most motorcyclists in Malaysia do not abide by the stopping rule at the intersection before making a right-turn. Moreover they seldom use their turning indicators and tend to make the indigenous ‘Weaving Merging Right-Turn’ (WMRT) more often as compared to other vehicles. Not complying with the stopping rule and keeping the indicator switched off while making a right-turn was found to be hazardous and resulted in the decrease in the safety of intersection and increase in the risk of accident. However, WMRT was found to be a safer maneuver as compared to the conventional right-turn. For vehicles other than motorcycles, the analysis concluded the same results. It is recommended that the methodology proposed in this research should be extended to other studies with a larger sample size. 

Comparisons of supremum and stop rule expectations

1980 ◽  
Vol 12 (2) ◽  
pp. 282-282
Author(s):  
Theodore P. Hill ◽  
Robert P. Kertz
Keyword(s):  
Stop Rule

scholarly journals What ends a worry bout? An analysis of changes in mood and stop rule use across the catastrophising interview task

2007 ◽  
Vol 45 (6) ◽  
pp. 1231-1243 ◽  
Author(s):  
Graham C.L. Davey ◽  
Fiona Eldridge ◽  
Jolijn Drost ◽  
Benie A. MacDonald
Keyword(s):  
Stop Rule
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