“Slip and Fall” Theory—Extreme Order Statistics

References

• Adler, S.C., & Pierman, B.C. (1979). History of walkway slip-resistance research at the National Bureau of Standards (Report No. NBS SP 505). Washington, DC, USA: National Bureau of Standards.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1983a). .Standard test method for rubber property—Abrasion resistance (NBS Abrader) (Standard No. ASTM D1630-83). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1983b). Proposed test method for static coefficient of friction of polish-coated floor surfaces as measured by the NBS-Brungraber Articulated Arm Tester( ASTM Proposed Standard No. P126). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1983c). Proposed test method for dynamie coëfficiënt of friction of polish-coated floor surfaces as measured by the NBS-Sigler Pendulum Impact Tester (ASTM Proposed Standard No. P127). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1983d). Proposed test method for static and dynamic coefficient of friction of polish-coated floor surfaces as measured by the Topaka Slip Tester (ASTM Proposed Standard No. P128). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1988a). Standard test method for static coefficient of friction of polish-coated floor surface as measured by the James Machine (Standard No. ASTM D2047-82 [Reapproved 1988]). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1988b). Standard test method for static coefficient offriction ofshoe sole and heel materials as measured bythe James Machine (Standard No. ASTM F489-77 [Reapproved 1988]). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1989a). Standard test method for determining the static coefficient of friction of ceramic tile and other like surfaces by the horizontal hynamometer pull-meter method (Standard No. ASTM C1028-89). Philadelphia, PA, USA: Author.
   Google Scholar
• American Society for Testing and Materials (ASTM). (1989b). Standard test tethod for static slip resistance for footwear, sole, heel, or related materials by horizontal pull slipmeter (HPS) (Standard No. ASTM F609-79 [Reapproved 1989]). Philadelphia, PA, USA: Author.
   Google Scholar
• Andres, R.O., & Chaffin, D.B. (1985). Ergonomic analysis of slip-resistance measurement devices. Ergonomics, 28, 1065–1079.
   Google Scholar
• Balance, P.E., Morgan, J., & Senior, D. (1985). Operational experience with a portable friction testing device in university buildings. Ergonomics, 28, 1043–1054.
   Google Scholar
• Brungraber, R.J. (1976). An overview of floor slip-resistance research with annotated bibliography (NBS Technical Note 895). Washington, DC, USA: National Bureau of Standards.
   Google Scholar
• Brungraber, R.J. (1977). A new portable tester for the evaluation of the slip-resistance of walkway surfaces(NBC Technical Note 953). Washington, DC, USA: National Bureau of Standards.
   Google Scholar
• Bucknell University F-13 workshop to evaluate various slip resistance measuring devices. (1992). ASTM Standardization News, 20(5), 21–24.
   Google Scholar
• Department of Justice. (2000). Ground and floor surfaces, general. Standards for accessible design. Americans with Disabilities Act (Standard No. 28 CFR Appendix A to Part 36, A4.5.1). Washington, DC, USA: Author.
   Google Scholar
• Dowson, D. (1979). History of tribology. Oxford, UK: Oxford University Press.
   Google Scholar
• Fisher, R.A., & Tippett, L.H.C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of Cambridge Philosophical Society, 24, 180–190.
   Google Scholar
• Galambos, J. (1978). The asymptotic theory of extreme order statistics.New York, NY, USA: Wiley.
   Google Scholar
• Gregory, L.D., & Spruill, C.E. (1962). Structural reliability of re-entry vehicles using brittle materials in the primary structure. In Proceedings ofthe IAS Aerospace Systems Reliability Symposium. (pp. 33–55). New York, NY, USA: Institute of the Aerospace Sciences.
   Google Scholar
• Grönqvist, R., Roine, J., Jarvinen, E., & Korhonen, E. (1989). An apparatus and a method for determining the slip resistance of shoes and floors by simulation of human foot motions. Ergonomics, 32, 979–995.
   Google Scholar
• Gumbel, E.J., (1954). Statistical theory of extreme values and some practical applications (National Bureau of Standards Applied Mathematics Series 33). Washington, DC, USA: U.S. Government Printing Office.
   Google Scholar
• Gumbel, E.J., (1958). Statistics ofextremes. New York, NY, USA: Columbia University Press.
   Google Scholar
• Harper, F.C., Warlow, W.J., & Clarke, B.L. (1961). The forces applied to the floor by the foot in walking: I. Walking on a level surface (National Building Studies: Research Paper 32). London, UK: Department of Scientific and Industrial Research, Building Research Station.
   Google Scholar
• Irvine, C.H. (1976). Evaluation of some factors affecting measurements of slip resistance of shoe sole materials on floor surfaces. Journal of Testing and Evaluation, 4(2), 133–138.
   Google Scholar
• Jung, K., & Schenk, H. (1990). An international comparison of test methods for determining the slip resistance of shoes. Journal of Occupational Accidents, 13(4), 271–290.
   Google Scholar
• Kececioglu, D., & Cormier, D. (1964). Designing a specified reliability directly into a component. In Proceedings of the Third Annual Aerospace Reliability and Maintainability Conference, June 29—July 1, 1964 (pp. 546–565). New York, NY, USA: Society of Automotive Engineers.
   Google Scholar
• Majcherczyk, R. (1977). Different approach to measuring pedestrian friction: The CEBTP skidmeter. In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurements ofslip resistance (Publication No. ASTM STP 649, pp. 88-99). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
   Google Scholar
• Murray, M.P. (1967). Gait as a total pattern of movement. American Journal of Physical Medicine, 46(1), 290–333.
   Google Scholar
• Occupational Safety and Health Administration (OSHA). (2000). General requirements, walking-working surfaces (Standard No. 29 CFR 1910.22). Washington, DC, USA: Author.
   Google Scholar
• Perkins, P.J. (1978). Measurement of slip between the shoe and ground during walking. In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurement of slip resistance, (Publication No. ASTM STP 649, pp. 71–87). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
   Google Scholar
• Pfauth, M.J., & Miller, J.M. (1976). Work surface coefficients: A survey of relevant factors and measurement methodology. Journal of Safety Research, 8(2), 77–90.
   Google Scholar
• Redfern, M.S., & Bidanda, B. (1994). Slip resistance of the shoe-floor interface under biomechanically-relevant conditions. Ergonomics, 37, 511–524.
   Google Scholar
• Reed, M.E., & Mahon, R.D. (1977). Description of the National Institute for Occupational Safety and Health (NIOSH) universal friction testing machine (UFTM). In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurement of slip resistance, (Publication No. ASTM STP 649, pp. 60–70). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
   Google Scholar
• Standards Australia and Standards New Zealand. (1993). Slip resistance of pedestrian surfaces, part 1: Requirements (Standard No. AS/NZS 3661.1:1993). Homebush, NSW, Australia and Wellington, New Zealand: Authors.
   Google Scholar