A fourth note on recent research in geometrical probability

[1]  A stochastic model of the formation and survival of lunar craters: VI. Initial depth, distribution of depths, and lunar history , 1967 .

[2]  R. E. Miles The Random Division of Space , 1972 .

[3]  A. Davies Estimation of number and diameter of isodiametric spherical particles in microtome sections , 1973, Journal of microscopy.

[4]  P. A. P. Moran The random volume of interpenetrating spheres in space , 1973 .

[5]  J. E. Hilliard Stereology: An Experimental Viewpoint , 1972 .

[6]  G. Choquet Theory of capacities , 1954 .

[7]  INFORMATION DENSITY PHENOMENA AND RANDOM PACKING , 1975 .

[8]  Ervin E. Underwood,et al.  The stereology of projected images , 1972 .

[9]  H. Iwata,et al.  Distribution of coordination numbers in random packing of homogeneous spheres , 1974 .

[10]  Correction of stereological parameters from biased samples on nucleated particle phases , 1976 .

[11]  L. Shepp Covering the circle with random ARCS , 1972 .

[12]  A. H. Marcus A stochastic model of the formation and survival of lunar craters: IV. On the nonrandomness of crater centers , 1966 .

[13]  A. J. Matheson Computation of a random packing of hard spheres , 1974 .

[14]  The mean surface area of the boxes circumscribed about a convex body , 1972 .

[15]  W. J. Firey Kinematic measures for sets of support figures , 1974 .

[16]  C. Clement The distribution of path lengths through a porous material , 1972 .

[17]  Z. Artstein,et al.  A Strong Law of Large Numbers for Random Compact Sets , 1975 .

[18]  R. S. Anderssen,et al.  Concerning $\int_0^1 \cdots \int_0^1 {(x_1^2 + \cdots + x_k^2 )} ^{{1 / 2}} dx_1 \cdots ,dx_k $ and a Taylor Series Method , 1976 .

[19]  A. H. Marcus A stochastic model of the formation and survival of lunar craters I. Distribution of diameter of clean craters , 1966 .

[20]  W. Nicholson Estimation of linear functionals by maximum likelihood * , 1976 .

[21]  R. E. Miles Poisson flats in Euclidean spaces Part I: A finite number of random uniform flats , 1969, Advances in Applied Probability.

[22]  J. F. C. Kingman,et al.  Random secants of a convex body , 1969, Journal of Applied Probability.

[23]  R. E. Miles,et al.  Precise and general conditions for the validity of a comprehensive set of stereological fundamental formulae , 1976 .

[24]  John S. Rowlinson,et al.  New Model for the Study of Liquid–Vapor Phase Transitions , 1970 .

[25]  O. Varga Integralgeometrie 3. Croftons Formeln für den Raum , 1936 .

[26]  Results on the intersection of randomly located sets , 1975 .

[27]  E. Weibel,et al.  Selection of the best method in stereology , 1974, Journal of microscopy.

[28]  Marc Moore,et al.  Anisotropically random mosaics , 1974, Journal of Applied Probability.

[29]  P. A. P. Moran,et al.  A second note on recent research in geometrical probability , 1969, Advances in Applied Probability.

[30]  A Note on Random Triangles , 1974 .

[31]  J. Dodds Simplest statistical geometric model of the simplest version of the multicomponent random packing problem , 1975, Nature.

[32]  R. E. Miles THE FUNDAMENTAL FORMULA OF BLASCHKE IN INTEGRAL GEOMETRY AND GEOMETRICAL PROBABILITY, AND ITS ITERATION, FOR DOMAINS WITH FIXED ORIENTATIONS , 1974 .

[33]  E. F. Schuster Buffon's Needle Experiment , 1974 .

[34]  F. Garwood THE VECTORIAL REPRESENTATION OF THE FREQUENCY OF ENCOUNTERS OF FREELY FLOWING VEHICLES , 1974 .

[35]  A probability model for the fusion of nucleoli in metabolic cells. , 1974, Journal of theoretical biology.

[36]  über Treffzahlwahrscheinlichkeiten im Eikörperfeld , 1968 .

[37]  B. Efron The convex hull of a random set of points , 1965 .

[38]  W. Schmidt Some results in probabilistic geometry , 1968 .

[39]  Adrian Baddeley,et al.  Integrals on a moving manifold and geometrical probability , 1977, Advances in Applied Probability.

[40]  David Fairthorne The Distances Between Random Points in Two Concentric Circles , 1964 .

[41]  J. Hammersley Lagrangian Integration Coefficients for Distance Functions Taken Over Right Circular Cylinders , 1952 .

[42]  T. M. Mayhew,et al.  Caveat on the use of the Delesse principle of areal analysis for estimating component volume densities , 1974 .

[43]  G. Matheron Random sets theory and its applications to stereology , 1972 .

[44]  W. J. Whitehouse A stereological method for calculating internal surface areas in structures which have become anisotropic as the result of linear expansions or contractions , 1974, Journal of microscopy.

[45]  Herbert Solomon,et al.  On random sequential packing in the plane and a conjecture of palasti , 1970, Journal of Applied Probability.

[46]  J. Hawkes ON THE COVERING OF SMALL SETS BY RANDOM INTERVALS , 1973 .

[47]  G. Matheron Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens , 1972, Advances in Applied Probability.

[48]  A. G. Ogston,et al.  The spaces in a uniform random suspension of fibres , 1958 .

[49]  H. Groemer,et al.  On the mean value of the volume of a random polytope in a convex set , 1974 .

[50]  P. Bloomfield,et al.  Properties of the random search in global optimization , 1975 .

[51]  Random Packing of Particles: Simulation With a One Dimensional Parking Model , 1974 .

[52]  L. Santaló,et al.  Averages for polygons formed by random lines in Euclidean and hyperbolic planes , 1972, Journal of Applied Probability.

[53]  Rodney Coleman,et al.  Random paths through convex bodies , 1969, Journal of Applied Probability.

[54]  W. B. Joyce,et al.  Classical-particle description of photons and phonons , 1974 .

[55]  L. Flatto A limit theorem for random coverings of a circle , 1973 .

[56]  W. B. Joyce,et al.  Sabine’s reverberation time and ergodic auditoriums , 1975 .

[57]  A. H. Marcus Further interpretations of crater depth statistics and lunar history , 1967 .

[58]  Zufällige konvexe Polyeder imN-dimensionalen euklidischen Raum , 1972 .

[59]  R. A. Fischer,et al.  The role of spatial pattern in the competition between crop plants and weeds. a theoretical analysis , 1973 .

[60]  G. Bach Über die Bestimmung von charakteristischen Größen einer Kugelverteilung aus der unvollständigen Verteilung der Schnittkreise , 1965 .

[61]  R. Ambartzumian The solution to the Buffon-Sylvester problem inR3 , 1973 .

[62]  Estimation of embedded particle properties from plane section intercepts , 1975, Advances in Applied Probability.

[63]  G. Ailam The Asymptotic Distribution of the Measure of Random Sets with Application to the Classical Occupancy Problem and Suggestions for Curve Fitting , 1970 .

[64]  Ulf Grenander,et al.  Statistical geometry: A tool for pattern analysis , 1973 .

[65]  G. Matheron Hyperplans poissoniens et compacts de Steiner , 1974, Advances in Applied Probability.

[66]  Random packing of equal spheres (reply) , 1975, Nature.

[67]  A. Gamba Random packing of equal spheres , 1975, Nature.

[68]  Peter J. Cooke,et al.  Bounds for coverage probabilities with applications to sequential coverage problems , 1974, Journal of Applied Probability.

[69]  P. Moran The volume occupied by normally distributed spheres , 1974 .

[70]  The mean volume of boxes and cylinders circumscribed about a convex body , 1972 .

[71]  Random-drift sampling, a study by computer simulation. UCLA-12-686. , 1968, UCLA [reports]. U.S. Atomic Energy Commission.

[72]  H. Groemer,et al.  On some mean values associated with a randomly selected simplex in a convex set. , 1973 .

[73]  Victor Klee,et al.  What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body , 1969 .

[74]  A simple derivation of a formula of Furstenberg and Tzkoni , 1973 .

[75]  P. Moran Statistical theory of a high-speed photoelectric planimeter , 1968 .

[76]  R E Miles RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE. , 1964, Proceedings of the National Academy of Sciences of the United States of America.

[77]  R. E. Miles Estimating aggregate and overall characteristics from thick sections by transmission microscopy , 1976 .

[78]  R. V. Ambartzumian,et al.  Combinatorial solution of the Buffon Sylvester problem , 1974 .

[79]  Marc Moore,et al.  Non-stationary random set processes with application to pattern reconstruction , 1973, Journal of Applied Probability.

[80]  Robert S. Anderssen,et al.  Abel type integral equations in stereology. II. Computational methods of solution and the random spheres approximation , 1975 .

[81]  R. E. Miles Poisson flats in Euclidean spaces Part II: Homogeneous Poisson flats and the complementary theorem , 1971, Advances in Applied Probability.

[82]  G. Ailam Moments of coverage and coverage spaces , 1966, Journal of Applied Probability.

[83]  T. I. Quickenden,et al.  Random packing in two dimensions and the structure of monolayers , 1974 .

[84]  R. E. Miles,et al.  RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE. , 1973, Proceedings of the National Academy of Sciences of the United States of America.

[85]  D. J. Adams,et al.  Computation of Dense Random Packings of Hard Spheres , 1972 .

[86]  Consistency in the Reconstruction of Patterns from Sample Data , 1972, Canadian Mathematical Bulletin.

[87]  G. Bach Über die Bestimmung der Anzahl dreiachsiger Ellipsoide aus der Anzahl ihrer Schnittellipsen in zufälligen Schnittebenen , 1964 .

[88]  G. Marsaglia Choosing a Point from the Surface of a Sphere , 1972 .

[89]  J. D. Wells,et al.  On the transport of compact particles through solutions of chain-polymers , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[90]  J. M. Hammersley,et al.  Stochastic Models for the Distribution of Particles in Space , 1972 .

[91]  Keishi Gotoh,et al.  Statistical geometrical approach to random packing density of equal spheres , 1974, Nature.

[92]  Alan G. Konheim,et al.  The Random Division of an Interval and the Random Covering of a Circle , 1962 .

[93]  Robert S. Anderssen,et al.  Abel type integral equations in stereology: I. General discussion , 1975 .

[94]  J. Hoffmann-jorgensen,et al.  Coverings of Metric Spaces with Randomly Placed Balls. , 1973 .

[95]  P. McMullen A dice probability problem , 1974 .

[96]  T. Mayhew,et al.  Stereological correction procedures for estimating true volume proportions from biased samples , 1973, Journal of microscopy.

[97]  R. Hafner Die asymptotische Verteilung von mehrfachen Koinzidenzen , 1972 .

[98]  Jean Serra Stereology and structuring elements , 1972 .

[99]  J. S. Rowlinson,et al.  The statistics of the volumes covered by systems of penetrating spheres , 1971 .

[100]  Richard Cowan,et al.  SOME PROPERTIES OF LINE SEGMENT PROCESSES , 1976 .

[101]  W. B. Joyce,et al.  Geometrical properties of random particles and the extraction of photons from electroluminescent diodes , 1974 .

[102]  A E Bate,et al.  Mean free path of sound in an auditorium , 1947 .

[103]  DIRECT DERIVATIONS OF CERTAIN SURFACE INTEGRAL FORMULAE FOR THE MEAN PROJECTIONS OF A CONVEX SET , 1975 .

[104]  R. Hafner,et al.  Die asymptotische Verteilung von Koinzidenzen , 1971 .

[105]  J. Kingman Review: G. Matheron, Random sets and integral geometry , 1975 .

[106]  P. Moran THE PROBABALISTIC BASIS OF STEREOLOGY , 1972 .

[107]  Klaus Krickeberg,et al.  Moments of point processes , 1973 .

[108]  P. Davy Projected thick sections through multi-dimensional particle aggregates , 1976, Journal of Applied Probability.

[109]  Tohru Ogawa,et al.  Geometrical Considerations on Hard Core Problems , 1974 .

[110]  D. V. Little A third note on recent research in geometrical probability , 1974, Advances in Applied Probability.

[111]  A. Prékopa On the number of vertices of random convex polyhedra , 1972 .

[112]  R. Lord The Distribution of Distance in a Hypersphere , 1954 .

[113]  W. Hamilton Geometry for the selfish herd. , 1971, Journal of theoretical biology.

[114]  Adri Kester Asymptotic normality of the number of small distances between random points in a cube , 1975 .

[115]  R. Coleman Sampling procedures for the lengths of random straight lines , 1972 .

[116]  A. Rényi,et al.  ZufÄllige konvexe Polygone in einem Ringgebiet , 1968 .

[117]  E. Langford The probability that a random triangle is obtuse , 1969 .

[118]  M. Hori,et al.  Numerical test of Palásti's conjecture on two-dimensional random packing density , 1975, Nature.

[119]  Un théorème d'unicité pour les hyperplans poissoniens , 1974 .

[120]  W. Visscher,et al.  Random Packing of Equal and Unequal Spheres in Two and Three Dimensions , 1972, Nature.

[121]  G. Ailam On probability properties of measures of random sets and the asymptotic behavior of empirical distribution functions , 1968, Journal of Applied Probability.

[122]  J. Hammersley The Distribution of Distance in a Hypersphere , 1950 .

[123]  J. Hammersley On a certain type of integral associated with circular cylinders , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[124]  D. P. Haughey,et al.  Structural properties of packed beds — A review , 1969 .

[125]  A. H. Marcus A stochastic model of the formation and survival of lunar craters: V. Approximate diameter distribution of primary and secondary craters , 1966 .

[126]  Jean Serra,et al.  The texture analyser , 1972 .

[127]  M. Wschebor Sur le recouvrement du cercle par des ensembles placés au hasard , 1973 .

[128]  J. E. Dorn,et al.  THE IMPORTANCE OF GEOMETRIC STATISTICS TO DISLOCATION MOTION , 1972 .

[129]  A. H. Marcus A stochastic model of the formation and survival of lunar craters: II. Approximate distribution of diameter of all observable craters , 1966 .

[130]  G. S. Watson Geometrical Statistics: A Report on the Satellite Symposium , 1974 .

[131]  L. A. Shepp,et al.  Covering the line with random intervals , 1972 .

[132]  P. A. P. Moran A central limit theorem for exchangeable variates with geometric applications , 1973, Journal of Applied Probability.

[133]  An intrinsic formula for volume. , 1967 .

[134]  A. Pleijel Zwei kurze Beweise der isoperimetrischen Ungleichung , 1956 .

[135]  F. Spitzer,et al.  The circumference of a convex polygon , 1961 .

[136]  W. Reed,et al.  Random points in a simplex , 1974 .

[137]  P. Moran A note on recent research in geometrical probability , 1966, Journal of Applied Probability.

[138]  A further instance of the Central Limit Theorem for dependent random variables , 1956 .

[139]  Portsmouth Polytechnic,et al.  A MORE GENERAL FORM OF A THEOREM OF CROFTON , 1973 .

[140]  R. E. Miles Multi‐dimensional perspectives on stereology , 1972 .