A sample-path approach to Palm probabilities

1994 ◽  
Vol 31 (2) ◽  
pp. 430-437
Author(s):  
Shaler Stidham
Keyword(s):  
Path Analysis ◽  
Function Space ◽  
Point Process ◽  
Sample Path ◽  
Probability Measures ◽  
Sample Path Analysis ◽  
Inversion Formulas ◽  
One Dimensional ◽  
And Inversion ◽  
Palm Probabilities

Previous papers have established sample-path versions of relations between marginal time-stationary and event-stationary (Palm) state probabilities for a process with an imbedded point process. This paper extends the use of sample-path analysis to provide relations between frequencies for arbitrary (measurable) sets in function space, rather than just marginal (one-dimensional) frequencies. We define sample-path analogues of the time-stationary and event-stationary (Palm) probability measures for a process with an imbedded point process, and then derive sample-path versions of the Palm transformation and inversion formulas.

A sample-path approach to Palm probabilities

1994 ◽  
Vol 31 (02) ◽  
pp. 430-437
Author(s):  
Shaler Stidham
Keyword(s):  
Path Analysis ◽  
Function Space ◽  
Point Process ◽  
Sample Path ◽  
Probability Measures ◽  
Sample Path Analysis ◽  
Inversion Formulas ◽  
One Dimensional ◽  
And Inversion ◽  
Palm Probabilities

Previous papers have established sample-path versions of relations between marginal time-stationary and event-stationary (Palm) state probabilities for a process with an imbedded point process. This paper extends the use of sample-path analysis to provide relations between frequencies for arbitrary (measurable) sets in function space, rather than just marginal (one-dimensional) frequencies. We define sample-path analogues of the time-stationary and event-stationary (Palm) probability measures for a process with an imbedded point process, and then derive sample-path versions of the Palm transformation and inversion formulas.

A sample path analysis of M/GI/1 queues with workload restrictions

1993 ◽  
Vol 14 (1-2) ◽  
pp. 203-213 ◽  
Author(s):  
Jian-Qiang Hu ◽  
Michael A. Zazanis
Keyword(s):  
Path Analysis ◽  
Sample Path ◽  
Sample Path Analysis

A sample path analysis of the delay in the M/G/C system

1996 ◽  
Vol 33 (1) ◽  
pp. 256-266 ◽  
Author(s):  
Sridhar Seshadri
Keyword(s):  
Path Analysis ◽  
Service Time ◽  
Sample Path ◽  
Service Discipline ◽  
Service Time Distribution ◽  
Sample Path Analysis ◽  
New Device ◽  
Mean Delay ◽  
The Mean ◽  
General Service

Using sample path analysis we show that under the same load the mean delay in queue in the M/G/2 system is smaller than that in the corresponding M/G/1 system, when the service time has either the DMRL or NBU property and the service discipline is FCFS. The proof technique uses a new device that equalizes the work in a two server system with that in a single sterver system. Other interesting quantities such as the average difference in work between the two servers in the GI/G/2 system and an exact alternate derivation of the mean delay in the M/M/2 system from sample path analysis are presented. For the same load, we also show that the mean delay in the M/G/C system with general service time distribution is smaller than that in the M/G/1 system when the traffic intensity is less than 1/c.

Sample-Path Analysis of Queueing Systems

1999 ◽  
Author(s):  
Muhammad El-Taha ◽  
Shaler Stidham
Keyword(s):  
Path Analysis ◽  
Queueing Systems ◽  
Sample Path ◽  
Sample Path Analysis

Sample path analysis of level crossings for the workload process

1992 ◽  
Vol 11 (4) ◽  
pp. 419-428 ◽  
Author(s):  
Michael A. Zazanis
Keyword(s):  
Path Analysis ◽  
Sample Path ◽  
Level Crossings ◽  
Sample Path Analysis

scholarly journals Path Analysis on the Influence of Perceived Sport Competence by Other Motivational Variables

2007 ◽  
Vol 13 (1) ◽  
pp. 43-53
Author(s):  
Eric C.K. TSANG
Keyword(s):  
Path Analysis ◽  
Goal Orientation ◽  
Extrinsic Motivation ◽  
Sample Path ◽  
Mediating Effect ◽  
Motivation Theory ◽  
Sample Path Analysis ◽  
Task Goal ◽  
Sport Competence ◽  
Competence Motivation

LANGUAGE NOTE | Document text in English; abstract also in Chinese. The purpose of this study was to examine children's sport and physical education (PE) participation by focusing on perceived sports competence as suggested in Harter's competence motivation theory (1978, 1981). The study included other related factors of intrinsic/extrinsic motivational orientation, task/ego goal orientation and level of competitive trait anxiety to examine their relationship and predictive ability on perceived sport competence. A total of 2,202 participants from eleven schools of Secondary One, Two and Three, with a mean age of 13.55 years (SD=2.15) took part in this study. There was a proportional distribution of males (n=1,056) and females (n=1,130). Data was collected by using measuring instruments that included the Self-Perception Profile for Children (SPPC; Harter, 1985), Sport Motivation Scale (SMS; Pelletier et al., 1995), Task and Ego Orientation in Sport Questionnaire (TEOSQ; Duda & Nicholls, 1989) and Sport Competition Anxiety Test (SCAT; Martens, Vealey & Burton, 1990). Descriptive statistics were used to generalise the characteristics of the sample. Path analysis using EQS was performed to identify the structure of relationships between different attributes. The results revealed the relationships between perceived sport competence and other motivational attributes were mostly in accordance with Harter's competence motivation theory such that analyses demonstrated significant, modest, positive relationships with intrinsic motivation and extrinsic motivation, and negative relationships with anxiety and amotivation. The relationship with task goal orientation was significant but weak. Examination with path analysis showed that task goal orientation was related to perceived competence through the mediating effect of intrinsic and extrinsic motivation. By understanding how these factors affect children's decisions to continue or discontinue participation in PE and sport activities, and how these factors interact with each other, recommendations were made concerning the school PE curriculum and implementation of sport programmes in Hong Kong. Recommendations were also made for future studies. 本研究是根據「勝任運動能力」及其他影響參與運動的因素包括「內在及外在動機」、「運動焦慮」及「目標定向」檢視香港初中生參與運動的動機。2,202名中一至中三的學生參與這次問卷研究。數據分析總結出「勝任運動能力」與「內在動機」及「外在動機」存在重要及正面關係，與「運動焦慮」及「無動機」存在負面關係；通過結構公式分析顯示「任務目標」透過「內在動機」及「外在動機」影響「勝任運動能力」。在了解這些影響青少年參與運動的因素後，本研究作出一些提議及提出將來研究的方向。

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