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Filtering counts of cars entering and leaving a parking place

Published online by Cambridge University Press:  14 July 2016

Søren Andersen  and
Mats Rudemo
Søren Andersen*
Affiliation:
The Royal Veterinary and Agricultural University, Copenhagen
Mats Rudemo*
Affiliation:
The Royal Veterinary and Agricultural University, Copenhagen
*
∗Postal address: Department of Mathematics and Statistics, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, 1871 Copenhagen V, Denmark.
∗Postal address: Department of Mathematics and Statistics, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, 1871 Copenhagen V, Denmark.
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Abstract

Cars entering and leaving a parking place in a forest are registered automatically in connection with an investigation of forest recreational use. By subtraction the number of cars parked is computed. Due to erroneous and missing counts, errors occur and may for instance indicate a negative number. The theory of incompletely observed Markov chains is used to obtain an estimate of the number of cars parked.

Keywords

COUNTING PROCESSINCOMPLETE OBSERVATIONJUMP PROCESSMARKOV CHAINSMOOTHING
Type
Research Paper
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 64 - 71
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

Research supported by the Danish Agricultural and Veterinary Research Council.

References

Andersen, S., Madsen, J. S. and Rudemo, M. (1981) Documentation of a program for smoothing of counting errors for the fixed stands of the project ‘Forest and Folk’. (In Danish). Technical Report, Department of Mathematics and Statistics, The Royal Veterinary and Agricultural University, Copenhagen.Google Scholar
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Koch, N. Elers (1978) Forest recreation in Denmark. Part I. The use of the country's forests by the population (in Danish). Forstl. Fors⊘gsv. Danm., K⊘benhavn 35, 285–451.Google Scholar
Koch, N. Elers (1981) Forest recreation in Denmark. Part III. The use of the forests — local considerations (in Danish). Forstl. Forsr⊘gsv. Danm., K⊘benhavn. Google Scholar
Rudemo, M. (1975) Prediction and smoothing for partially observed Markov chains. J. Math. Anal. Appl. 49, 1–23.Google Scholar
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