ESTIMATION OF PROBABILITY DENSITY FUNCTIONS OF VEHICLE VELOCITIES

IN ORDER TO ESTIMATE THE PROBABILITY DENSITY FUNCTION OF THE VELOCITIES OF VEHICLES PASSING A PARTICULAR SPOT ON A ROAD OR A HIGHWAY, THE VELOCITIES OF THE NUMBER OF VEHICLES WHICH PASS THROUGH THE SPOT IN TIME ARE RECORDED. SINCE THE NUMBER IS A RANDOM VARIABLE, THE FIXED-SAMPLE-SIZE FORMULAE FOR ESTIMATING THE PROBABILITY DENSITY FUNCTION CANNOT BE USED WITHOUT FURTHER INVESTIGATION. THE PRESENT RESEARCH INVESTIGATES THE PROPERTIES OF THE CLASS OF ESTIMATES SUGGESTED BY PARZEN FOR THE CASE OF RANDOM SAMPLE SIZE IN TWO SITUATIONS. UNDER SOME CONDITIONS THE ESTIMATORS ARE SHOWN TO BE CONSISTENT AND ASYMPTOTICALLY NORMAL. APPLICATIONS OF THE RESULTS TO VELOCITIES ON ROADS AS WELL AS TO ESTIMATING THE RELIABILITY AND THE HAZARD RATE ARE DISCUSSED. /AUTHOR/ REFERENCES: ON ESTIMATION OF A PROBABILITY DENSITY AND MODE, E. PARZEN, ANNALS OF MATHEMATICAL STATISTICS, VOL. 33, PP. 1065-1076, 1962.

• Corporate Authors:

  Stanford University

  Department of Statistics
  Stanford, CA  United States 
• Authors:
  • Srivastava, R C
• Publication Date: 1968-5-25

Subject/Index Terms

• TRT Terms: Mathematical analysis; Motor vehicles; Probability theory; Randomization; Traffic density; Traffic flow; Velocity measurement
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00227243
• Record Type: Publication
• Source Agency: Traffic Systems Reviews & Abstracts
• Report/Paper Numbers: Tech Rept No 2
• Files: TRIS
• Created Date: Jul 21 1970 12:00AM