Bibliography for Monte Carlo Pi

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  1. A mixture representation of pi with applications in Markov chain Monte Carlo and perfect sampling  PDF   
    Hobert, James P.; Robert, Christian P.
    Ann. Appl. Probab.  14  (2004),  no. 3, 1295--1305, MathSciNet.  
  2. The Buffon's needle problem and the design of a geophysical survey
    Sambuelli, Luigi ; Strobbia, Claudio
    Geophysical Prospecting, v 50, n 4, July, 2002, p 403-409, Compendex.
  3. The accuracy of Buffon's needle: a rule of thumb used by ants to estimate area
    S.T. Mugford; E.B. Mallon; N.R. Franks
    Behavioral Ecology, November 2001, vol. 12, no. 6, pp. 655-658(4), Ingenta.    
  4. Buffon got it straight
    Wood G.R.; Robertson J.M.
    Statistics and Probability Letters, 30 March 1998, vol. 37, no. 4, pp. 415-421(7), Ingenta.      
  5. On Laplace's Extension of the Buffon Needle Problem (in Classroom Capsules)  
    Barry J. Arnow  
    The College Mathematics Journal, Vol. 25, No. 1. (Jan., 1994), pp. 40-43, Jstor.  
  6. Buffon Noodles  
    Ed Waymire  
    The American Mathematical Monthly, Vol. 101, No. 6. (Jun. - Jul., 1994), pp. 550-559, Jstor.  
  7. Determining Sample Sizes for Monte Carlo Integration (in Classroom Computer Capsules)  
    David Neal  
    The College Mathematics Journal, Vol. 24, No. 3. (May, 1993), pp. 254-259, Jstor.  
  8. A Monte Carlo Application to Approximate [Graphics:../Images/MonteCarloPiBib_gr_1.gif]   
    Kenneth Easterday and Tommy Smith   
    School Science and Mathematics, Vol. 92, No. 1, (1992), pp. 23-25.   
  9. Buffon's Needle Problem on Radial Lines (in Notes)  
    H. J. Khamis  
    Mathematics Magazine, Vol. 64, No. 1. (Feb., 1991), pp. 56-58, Jstor.  
  10. A Monte Carlo Application to Approximate Pi.
    Easterday, Kenneth; Smith, Tommy
    Mathematics Teacher v84 n5 p387-90 May 1991, ERIC.  
  11. Rudolf Wolf's Contribution to the Buffon Needle Problem (an Early Monte Carlo Experiment) and Application of Least Squares  
    Hans Riedwyl  
    The American Statistician, Vol. 44, No. 2. (May, 1990), pp. 138-139, Jstor.  
  12. Experimental Pi.
    Corris, G.
    Mathematics in School v19 n1 p18-21 Jan 1990, ERIC.  
  13. Designing Buffon's Needle for a Given Crossing Distribution  
    Jack M. Robertson; Andrew F. Siegel  
    The American Mathematical Monthly, Vol. 93, No. 2. (Feb., 1986), pp. 116-119, Jstor.  
  14. A remark on Buffon's needle problem.  
    Abel, Ulrich
    Elem. Math.  39  (1984),  no. 2, 34--37.
  15. An Irrational Calculation of Pi.
    Lowry, Pat G.
    Creative Computing v7 n12 p238-39 Dec 1981, ERIC.  
  16. Monte Carlo, Probability, Algebra, and Pi.
    Hinders, Duane C.
    Mathematics Teacher v74 n5 p335-39 May 1981, ERIC.  
  17. Constructing Buffon Curves from their Distributions  
    Duane W. DeTemple; Jack M. Robertson  
    The American Mathematical Monthly, Vol. 87, No. 10. (Dec., 1980), pp. 779-784, Jstor.  
  18. Larval Fish, Power Plants, and Buffon's Needle Problem  
    Sherwood F. Ebey; John J. Beauchamp  
    The American Mathematical Monthly, Vol. 84, No. 7. (Aug. - Sep., 1977), pp. 534-541, Jstor.  
  19. A Precalculus Unit on Area under Curves (in Computer Corner)  
    Samuel Goldberg
    The Two-Year College Mathematics Journal, Vol. 6, No. 4. (Dec., 1975), pp. 29-35, Jstor.  
  20. Sharpening Buffon's Needle  
    Michael D. Perlman; Michael J. Wichura  
    The American Statistician, Vol. 29, No. 4. (Nov., 1975), pp. 157-163, Jstor.  
  21. Buffon's Needle Experiment  
    E. F. Schuster  
    The American Mathematical Monthly, Vol. 81, No. 1. (Jan., 1974), pp. 26-29, Jstor.  
  22. Monte Carlo Estimate for Pi  
    John H. Mathews  
    Pi Mu Epsilon Journal, Vol. 5, 1972, pp. 281-282.
  23. Buffon in the Round  
    M. F. Neuts; P. Purdue  
    Mathematics Magazine, Vol. 44, No. 2. (Mar., 1971), pp. 81-89, Jstor.  
  24. Buffon's Noodle Problem (in Mathematical Notes)  
    J. F. Ramaley  
    The American Mathematical Monthly, Vol. 76, No. 8. (Oct., 1969), pp. 916-918, Jstor.  
  25. A Variation of the Buffon Needle Problem  
    R. L. Duncan  
    Mathematics Magazine, Vol. 40, No. 1. (Jan., 1967), pp. 36-38, Jstor.  
  26. On Barbier's Solution of the Buffon Needle Problem  
    Murray S. Klamkin  
    Mathematics Magazine, Vol. 28, No. 3. (Jan. - Feb., 1955), pp. 135-138, Jstor.  
  27. The Monte Carlo Method  
    D. D. McCracken  
    Scientific American, 192, (May 1955), pp. 90-96.  
  28. An Extension of the Buffon Needle Problem (in Notes)  
    Nathan Mantel  
    The Annals of Mathematical Statistics, Vol. 24, No. 4. (Dec., 1953), pp. 674-677, Jstor.  
  29. On the Uniqueness of the Distribution Function for the Buffon Needle Problem  
    M. S. Klamkin  
    The American Mathematical Monthly, Vol. 60, No. 10. (Dec., 1953), pp. 677-680, Jstor.  
  30. On Buffon's Problem and Its Generalizations  
    M. Kac; E. R. van Kampen; Aurel Wintner  
    American Journal of Mathematics, Vol. 61, No. 3. (Jul., 1939), pp. 672-676, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005