ON THE DISTRIBUTION OF RECORDS IN A FINITE SEQUENCE OF OBSERVATIONS, WITH AN APPLICATION TO A ROAD TRAFFIC PROBLEM

PROBABILITY DISTRIBUTIONS RELATING TO THE NUMBER AND POSITIONS OF LOWER RECORDS IN A FINITE SEQUENCE OF OBSERVATIONS ARE OBTAINED BY METHODS INVOLVING THE PERMUTATION OF RANKS. SOME NEW RESULTS, AND RESULTS OF EARLIER AUTHORS, ARE EXPRESSED IN A FORM THOUGHT TO BE USEFUL FOR DIRECT PRACTICAL APPLICATIONS. EXPRESSIONS ARE ALSO GIVEN FOR THE DISTRIBUTION OF THE LENGTH OF A 'RECORD RUN', WHICH CONSISTS OF THE OBSERVATIONS FOLLOWING AND INCLUDING A GIVEN RECORD EITHER UP TO THE NEXT RECORD, OR, IF A FURTHER RECORD DOES NOT OCCUR, UP TO THE END OF THE SEQUENCE OF OBSERVATIONS. THIS QUANTITY, WHOSE DISTRIBUTION IS CLOSELY RELATED TO THAT OF THE INTER-RECORD TIME, HAS A DIRECT AND SIMPLE APPLICATION TO ROAD TRAFFIC LEAVING A SIGNAL WHICH HAS BEEN CONFIRMED BY EXPERIMENTAL OBSERVATION.

  • Authors:
    • Haghighi-talb, D
    • Wright, C
  • Publication Date: 1973-9

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Filing Info

  • Accession Number: 00228427
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Apr 20 1974 12:00AM