On Chance Distribution

2008 ◽  
pp. 1035-1035
Keyword(s):  
Chance Distribution

ANALYSIS AND ALGORITHMS OF BIFUZZY SYSTEMS

2004 ◽  
Vol 12 (03) ◽  
pp. 357-376 ◽  
Author(s):  
JIAN ZHOU ◽  
BAODING LIU
Keyword(s):  
Numerical Experiments ◽  
Fuzzy Variable ◽  
Expected Value ◽  
Real Numbers ◽  
Fuzzy Variables ◽  
Chance Distribution ◽  
Expected Value Operator ◽  
Possibility Space ◽  
Bifuzzy Variable

A fuzzy variable is a function from a possibility space to the set of real numbers, while a bifuzzy variable is a function from a possibility space to the set of fuzzy variables. In this paper, a concept of chance distribution is originally presented for bifuzzy variable, and the linearity of expected value operator of bifuzzy variable is proved. Furthermore, bifuzzy simulations are designed and illustrated by some numerical experiments.

scholarly journals Delayed Renewal Process with Uncertain Random Inter-Arrival Times

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1943
Author(s):  
Xiaoli Wang ◽  
Gang Shi ◽  
Yuhong Sheng
Keyword(s):  
Random Process ◽  
Renewal Process ◽  
Random Variable ◽  
Random Delay ◽  
Renewal Theorem ◽  
Arrival Times ◽  
Chance Distribution ◽  
Renewal Rate ◽  
First Arrival

An uncertain random variable is a tool used to research indeterminacy quantities involving randomness and uncertainty. The concepts of an ’uncertain random process’ and an ’uncertain random renewal process’ have been proposed in order to model the evolution of an uncertain random phenomena. This paper designs a new uncertain random process, called the uncertain random delayed renewal process. It is a special type of uncertain random renewal process, in which the first arrival interval is different from the subsequent arrival interval. We discuss the chance distribution of the uncertain random delayed renewal process. Furthermore, an uncertain random delay renewal theorem is derived, and the chance distribution limit of long-term expected renewal rate of the uncertain random delay renewal system is proved. Then its average uncertain random delay renewal rate is obtained, and it is proved that it is convergent in the chance distribution. Finally, we provide several examples to illustrate the consistency with the existing conclusions.

Accident Proneness in the Industrial Setting

1987 ◽  
Vol 31 (2) ◽  
pp. 196-199 ◽  
Author(s):  
David L. Mayer ◽  
Scott F. Jones ◽  
Kenneth R. Laughery
Keyword(s):  
Striking Difference ◽  
Chi Square ◽  
Chance Distribution ◽  
Accident Proneness ◽  
Industrial Setting ◽  
Central Notion ◽  
Safety Interventions ◽  
Accident Data ◽  
Expected Values ◽  
Statistical Effects

The central notion of the accident proneness concept is that people exposed to equivalent hazards do not have an equal number of accidents. If people were equally accident prone, one would expect accidents to be distributed according to chance. Using accident data collected at Shell Oil Company's Manufacturing Complex in Deer Park, Texas, the present study explored the proneness concept for major (OSHA recordable) and minor accidents by comparing the observed distribution of accidents to a chance distribution. The database contains information on 7131 accidents which occurred between 1981 and 1986. The methodology used to create expected values employed a Poisson distribution and assumed that accidents are distributed randomly among the population at risk. The minor accident data was also analyzed by job family. Chi-square analyses of the differences between the expected and observed distributions were found to be statistically significant, including within each job family. The data for minor accidents indicates a striking difference between the expected and actual distributions. Many more people suffered repeat accidents than would be predicted by chance. Approximately 3.4% of the employees accounted for 21.5% of the accidents. While the differences for major accidents was statistically significant, these results are not nearly so striking. The statistical effects are largely due to five employees who were involved in three major accidents in the five year period. In the context of this very large industrial setting, the problem of individuals having repeated minor accidents is significant and merits attention in developing safety interventions.

scholarly journals Physiological Signs of the Activation of Bag2 and Chain Intrafusal Muscle Fibers of Gastrocnemius Muscle Spindles in the Cat

1998 ◽  
Vol 80 (1) ◽  
pp. 130-142 ◽  
Author(s):  
A. Taylor ◽  
P. H. Ellaway ◽  
R. Durbaba
Keyword(s):  
Gastrocnemius Muscle ◽  
Muscle Fibers ◽  
Muscle Spindles ◽  
Fiber Types ◽  
Dominant Type ◽  
Intrafusal Muscle ◽  
Chance Distribution ◽  
Intrafusal Fibers ◽  
Intrafusal Muscle Fibers ◽  
Prolonged Response

Taylor, A., P. H. Ellaway, and R. Durbaba. Physiological signs of the activation of bag2 and chain intrafusal muscle fibers of gastrocnemius muscle spindles in the cat. J. Neurophysiol. 80: 130–142, 1998. A method is described for identifying the effect of single gamma static (γs) axons on bag2 or chain intrafusal fibers using random (Poisson-distributed) stimuli. The cross-correlogram of the stimuli with the firing of spindle primary afferents took one of three forms. A large, simple, brief response was taken to indicate pure chain fiber activation and a small, prolonged response to indicate pure bag2 activation. A compound response with brief and prolonged components was taken to be a sign of mixed innervation. The correlogram components could be well fitted with lognormal curves. They could also be transformed into curves of gain as a function of frequency, which were convenient for estimating the strength of the effects. In 68 effects of γs axons on Ia afferents, 16 were pure chain, 17 pure bag2, and 35 mixed. This distribution was significantly different ( P < 0.05) from that expected from chance nonspecific innervation of chain and bag2 fibers. Making use of the estimates of the strength of chain and bag2 effects derived from the gain curves, the classification was modified by treating mixed responses that had one effect more than five times stronger than the other as belonging to the dominant type. The distribution was then as follows: chain 16, bag2 28, and mixed 24. This differed very significantly from the prediction of chance distribution ( P < 0.001). This evidence for some degree of specific innervation of chain and bag2 fibers is discussed in relation to previous work and with regard to the ways in which the two fiber types might be used in natural movements.

scholarly journals A simulation algorithm with uncertain random variables

2018 ◽  
Vol 8 (2) ◽  
pp. 195-200 ◽  
Author(s):  
Hasan Dalman
Keyword(s):  
Random Variables ◽  
Random Variable ◽  
Simulation Algorithm ◽  
Uncertain Random Variable ◽  
Chance Distribution ◽  
Optimistic Value

In many situations, uncertainty and randomness concurrently occur in a system. Thus this paper presents a new concept for uncertain random variable. Also, a simulation algorithm based on uncertain random variables is presented to approximate the chance distribution using  pessimistic value and  optimistic value. An example is also given to illustrate how to use the presented simulation algorithm.

The chance distribution of Szondi valences.

1951 ◽  
Vol 15 (2) ◽  
pp. 130-133 ◽  
Author(s):  
Jacob Cohen
Keyword(s):  
Chance Distribution
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