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Counting Distributions for Renewal Processes

Biometrika, 1965
In works on classical renewal theory (for example, Cox, 1962), the basic ingredient is the distribution of life-times, or failure-times. This function, representing the stochastic duration of the article subject to renewal, can be conveniently measured in the specific applications which led to the development of the theory.
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Coordination process in counting

International Journal of Psychology, 2003
Counting is an important activity because it gives rise to a whole range of arithmetic activities. Counting objects requires subjects to point at each object and to say the corresponding number‐word. Furthermore, to determine the correct cardinal of a set, the two activities of pointing and saying must be synchronized.
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Multivariate Counting Processes

1982
We shall define and construct multivariate counting processes in a manner similar to the one used in Chapter 1 for the one-dimensional case.
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Dual Porosity CNL Count Rate Processing

SPE Annual Technical Conference and Exhibition, 1982
ABSTRACT The standard method of computing porosity for the two-detector Compensated Neutron Log (CNL) is to use the ratio of near to far detector count rates. This procedure has the advantage that, to first order, environmental effects tend to cancel, leaving only residual effects to be corrected using a series of departure curves.
H.D. Scott, C. Flaum, H. Sherman
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Counting processes in deaf children's arithmetic

British Journal of Psychology, 1983
Ten profoundly deaf children and 10 hearing controls matched for arithmetical achievement were given integer additions to classify as right or wrong. Hearing children perform this task by using covert counting strategies which have been assumed to be subvocal. In view of deaf children's poor spoken language abilities it was expected that the deaf group
G J, Hitch, P, Arnold, L J, Phillips
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One-Dimensional Counting Processes

1982
Consider the half-line (0,∞] (0 excluded, ∞ included) equipped with the Borel σ-algebra β of subsets generated by the subintervals of (0,∞].
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Comparing counting processes and queues

Advances in Applied Probability, 1981
Several partial orderings of counting processes are introduced and applied to compare stochastic processes in queueing models. The conditions for the queueing comparisons involve the counting processes associated with the interarrival and service times. The two queueing processes being compared are constructed on the same probability space so that each
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Counting Processes and Martingales

1993
The present topic will not contribute much to the understanding of point processes on general spaces because we will merely study processes on the basic space T = [0, r] or T = [0, ∞). On the other hand, the involved mathematical problems and applications—concerning counting processes, martingales, compensators, and intensity processes—recently ...
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