TY - JOUR
T1 - Anisotropic Buffon’s needle problems
AU - Vassallo, Salvatore Flavio
PY - 2024
Y1 - 2024
N2 - In this paper, we investigate anisotropic extensions of the classical Buffon’s needle problem. In particular, we study the cases where the angle between the needle and a fixed
reference direction follows a triangular, a trapezoidal, a wrapped exponential, or a Von Mises distribution law. Within the first two cases, we examine both the oriented and non-oriented needle
problems, while within the latter two cases, we study the oriented needle problem exclusively.
For the examined distributions, we also determine the minimum and the maximum probability
AB - In this paper, we investigate anisotropic extensions of the classical Buffon’s needle problem. In particular, we study the cases where the angle between the needle and a fixed
reference direction follows a triangular, a trapezoidal, a wrapped exponential, or a Von Mises distribution law. Within the first two cases, we examine both the oriented and non-oriented needle
problems, while within the latter two cases, we study the oriented needle problem exclusively.
For the examined distributions, we also determine the minimum and the maximum probability
KW - Buffon’s Needle Problem
KW - Geometric Probability
KW - Random Sets
KW - Stochastic Geometry
KW - Buffon’s Needle Problem
KW - Geometric Probability
KW - Random Sets
KW - Stochastic Geometry
UR - http://hdl.handle.net/10807/266496
UR - https://pjm.ppu.edu/sites/default/files/papers/pjm_13(1)_2024_118_to_128.pdf
M3 - Article
SN - 2219-5688
VL - 13
SP - 118
EP - 128
JO - Palestine Journal of Mathematics
JF - Palestine Journal of Mathematics
ER -