BhattacharyaS.K. and HollaM.S., 1965, “On a discrete distribution with special reference to the theory of accident proneness”, Journal of the American Statistical Association, 60, 1060–1066.
ChernoffH. and LehmannE.L., 1954, “The use of maximum likelihood estimates in χ2 tests for goodness of fit”, Annals of Mathematical Statistics, 25, 579–586.
4.
ClarkP.J. and EvansF.C., 1954a, “Distance to nearest neighbor as a measure of spatial relationships in populations”, Ecology, 35, 445–453.
5.
CochranW.G., 1954“Some methods for strengthening the common χ2 tests”, Biometrics10, 417–451.
6.
CurtisJ.T. and McIntoshR.P., 1950, “The interrelations of certain analytic and synthetic phytosociological characters”, Ecology, 31, 434–455.
7.
FellerW., 1957, An Introduction to Probability Theory and Its Application (John Wiley, New York).
8.
FisherR.A., 1924, “The conditions under which the chi square measures the discrepancy between observation and hypothesis”, Journal of the Royal Statistical Society, 87, 442–450.
9.
FixE., 1949, Tables of the Noncentral χ2 (University of California Press, Berkeley).
10.
Greig-SmithP., 1952, “The use of random and contiguous quadrats in the study of the structure of plant communities”, Annals of Botany, London, N.S., 16, 293–316.
GurlandJ., 1957, “Some interrelations among compound and generalized distributions”, Biometrika, 44, 265–268.
13.
HudsonJ.C. and FowlerR.M., 1966, “The concept of pattern in geography”, Discussion Paper No.1, Department of Geography, University of Iowa, Iowa City.
14.
KattiS.K. and GurlandJ., 1961, “The Poisson Pascal distribution”, Biometrics, 17, 527–538.
15.
KattiS.K. and GurlandJ., 1962, “Efficiency of certain methods of estimation for the negative binomial and the Neyman Type A distributions”, Biometrika, 49, 215–226.
16.
KendallM.G. and StuartA., 1961, The Advanced Theory of Statistics. II. Inference and Relationship (Charles Griffin, London).
17.
KhatriC.G. and PatelI.R., 1961, “Three classes of univariate discrete distributions”, Biometrics, 17, 567–575.
18.
McConnellH., 1966, “Quadrat methods in map analysis”, Discussion Paper No.3, Department of Geography, University of Iowa, Iowa City.
19.
MartinJ.GomarN. and RogersA., 1969, “Some computer programs for quadrat analysis”, Working Paper, Center for Planning and Development Research, University of California, Berkeley.
20.
NeymanJ., 1939, “On a new class of ‘contagious’ distributions, applicable in entomology and bacteriology”, Annals of Mathematical Statistics, 10, 35–37.
21.
ParzenE., 1960, Modern Probability Theory and Its Applications (John Wiley, New York).
22.
PatnaikP.B., 1949, “The non-central χ2- and F-distributions and their applications”, Biometrika, 36, 202–232.
23.
RogersA. and GomarN., 1969, “Statistical inference in quadrat analysis”, Geographical Analysis, forthcoming.
24.
RogersA. and MartinJ., 1969, “Bivariate quadrat analysis of the dispersion of retail establishments and population in urban areas”, Working Paper, Center for Planning and Development Research, University of California, Berkeley.
25.
SkellamJ.G., 1952, “Studies in statistical ecology”, Biometrika, 39, 346–362.
26.
ThompsonH.R., 1956, “Distribution of distance to nth neighbor in a population of randomly distributed individuals”, Ecology, 37, 391–394.
27.
AdelsonR.M., 1966, “Compound Poisson distributions”, Operational Research Quarterly, 17, 73–75.
28.
AnscombeF.J., 1948, “The transformation of Poisson, binomial and negative binomial data”, Biometrika, 35, 246–254.
29.
AnscombeF.J., 1949, “The statistical analysis of insect counts based on the negative binomial distribution”, Biometrics, 5, 165–173.
30.
AnscombeF.J., 1950, “Sampling theory of the negative-binomial and logarithmic series distributions”, Biometrika, 37, 358–382.
31.
ArbousA.G. and KerrichJ.C., 1951, “Accident statistics and the concept of accident-proneness”, Biometrics, 7, 340–432.
32.
ArchibaldE.E.A., 1948, “Plant populations. I. A new application of Neyman's contagious distribution”, Annals of Botany, London, N.S., 12, 221–235.
33.
ArchibaldE.E.A., 1950, “Plant populations. II. The estimation of the number of individuals per unit area of species in heterogeneous plant populations”, Annals of Botany, London, N.S., 12, 221–235.
34.
BatesG.E. and NeymanJ., 1952“Contributions to the theory of accident proneness. I. An optimistic model of the correlation between light and severe accidents”, University of California Publication in Statistics, 1, 215–253.
35.
BeallG., 1940, “The fit and significance of contagious distributions when applied to observations on larval insects”, Ecology, 21, 460–474.
36.
BeallG. and ResciaR.R., 1953, “A generalization of Neyman's contagious distributions”, Biometrics, 8, 334–386.
37.
BerksonJ., 1938, “Some difficulties of interpretation encountered in the application of the chi-square test”, Journal of the American Statistical Association, 33, 526–536.
38.
BerksonJ., 1940, “A note on the chi-square test, the Poisson and the binomial”, Journal of the American Statistical Association, 35, 362–367.
39.
BlackmanG.E., 1942, “Statistical and ecological studies in the distribution of species in plant communities. I. Dispersion as a factor in the study of changes in plant populations”, Annals of Botany, London, N.S., 6, 351–370.
40.
BlissC.I. and FisherR.A., 1953, “Fitting the negative binomial distribution to biological data, and note on the efficient fitting of the negative binomial”, Biometrics, 9, 176–200.
41.
BlissC.I., and OwenA.R.G., 1958, “Negative binomial distributions with a common A:”, Biometrika, 45, 37–58.
42.
CampB.H., 1940, “Further comments on Berkson's problem”, Journal of the American Statistical Association, 35, 368–376.
43.
CampbellJ.T., 1934, “The Poisson correlation function”, Proceedings of the Edinburgh Mathematical Society, series 2, 4, 18–26.
44.
ClarkP.J., 1956, “Grouping in spatial distributions”, Science, 123, 373–374.
45.
ClarkP.J. and EvansF.C., 1954b, “On some aspects of spatial pattern in biological populations”, Sciences, 121, 397–398.
46.
CochranW.G., 1936, “The χ2 distribution for the binomial and Poisson series, with small expectations”, Annals of Eugenics, 7, 207–217.
47.
CochranW.G., 1952, “The χ2 test of goodness of fit”, Annals of Mathematical Statistics, 23, 315–345.
48.
DaceyM.F., 1962, “Analysis of central place and point patterns by a nearest neighbor method”, Proceedings of the IGU Symposium in Urban Geography, Lund, 1960, Ed. NorborgKurt, Lund Studies in Geography, B, 24, 55–75.
49.
DaceyM.F., 1963, “Order neighbor statistics for a class of random patterns in multidimensional space”, Annals of the Association of American Geographers, 53, 505–515.
50.
DaceyM.F., 1965, “The geometry of central place theory”, Geografiska Annaler, B, 47, 111–124.
51.
DaleniusT.HajekJ., and ZubrzyckiS., 1961, “On plane sampling and related geometrical problems”, Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics, and Probability (University of California Press, Berkeley), pp. 125–150.
52.
DanielsH.E., 1961, “Mixtures of geometric distributions”, Journal of Royal Statistical Society, B, 23, 409–413.
53.
DouglasJ.B., 1955, “Fitting the Neyman Type A (two parameter) contagious distribution”, Biometrics, 11, 149–173.
54.
DubeyS.D., 1966, “Compound Pascal distributions”, Annals of the Institute of Statistical Mathematics, Tokyo, 18, 357–365.
55.
EdwardsC.B. and GurlandJ., 1961, “A class of distributions applicable to accidents”, Journal of the American Statistical Association, 56, 503–517.
FellerW., 1943, “On a general class of ‘contagious’ distributions”, Annals of Mathematical Statistics, 14, 389–400.
58.
FisherR.A., 1941, “The negative binomial distribution”, Annals of Eugenics, 11, 182–187.
59.
FisherR.A.CorbetA.S., and WilliamsC.B., 1943, “The relation between the number of species and the number of individuals in a random sample from an animal population”, Journal of Animal Ecology, 12, 42–58.
60.
GetisA., 1964, “Temporal land use pattern analyses with the use of the nearest neighbor and quadrat methods”, Annals of the Association of American Geographers, 54, 391–398.
61.
GreenwoodH. and YuleG.U., 1920, “An inquiry into the nature of frequency distributions representative of multiple happenings”, Journal of the Royal Statistical Society, 83, 255–279.
62.
GurlandJ., 1958, “A generalized class of contagious distributions”, Biometrics, 14, 229–249.
63.
GurlandJ., 1959, “Some applications of the negative binomial and other contagious distributions”, American Journal of Public Health, 49, 1388–1399.
64.
HaightF.A., 1959, “The generalized Poisson distribution”, Annals of the Institute of Statistical Mathematics, Tokyo, 11, 101–105.
65.
HaightF.A., 1967, Handbook of the Poisson Distribution (John Wiley, New York).
66.
HaidaneJ.B.S., 1941, “The fitting of binomial distributions”, Annals of Eugenics, 11, 179–181.
67.
HodgesJ.L.Jr. and Le CamL., 1960, “The Poisson approximation to the Poisson binomial distribution”, Annals of Mathematical Statistics, 31, 737–740
68.
HolgateP., 1964, “Estimation for the bivariate Poisson distribution”, Biometrika, 51, 241–245.
69.
HolgateP., 1965a, “Tests of randomness based on distance methods”, Biometrika, 52, 345–353.
70.
HolgateP., 1965b, “The distance from a random point to the nearest point of a closely packed lattice”, Biometrika, 52, 261–263.
71.
HolgateP., 1966, “Bivariate generalizations of Neyman's Type A distribution”, Biometrika, 53, 241–244.
72.
HollaM.S. and BhattacharyaS.K., 1964, “On a discrete compound distribution”, Annals of the Institute of Statistical Mathematics, Tokyo, 16, 377–384.
73.
IshiiG. and HayakawaR., 1960, “On the compound binomial distribution”, Annals of the Institute of Statistical Mathematics, Tokyo, 12, 69–80.
74.
KattiS.K., 1960“Some aspects of statistical inference for contagious distributions”, Ph.D.Thesis, Iowa State University, Ames, Iowa.
75.
KattiS.K. and GurlandJ., 1962, “Some methods of estimation for the Poisson binomial distribution”, Biometrics, 18, 42–51.
76.
KempC.D., 1967, “On a contagious distribution suggested for accident data”, Biometrics, 23, 241–255.
77.
KempC.D. and KempA.W., 1956, “The analysis of point quadrat data”, Australian Journal of Botany, 4, 167–174.
78.
KendallD.G., 1948, “On some modes of population growth leading to R.A.Fisher's logarithmic series distribution”, Biometrika, 35, 6–15.
79.
KhatriC.G., 1962, “A fitting procedure for a generalized binomial distribution”, A nnals of the Institute of Statistical Mathematics, Tokyo, 41, 133–141.
80.
KrishnamoorthyA.S., 1951, “Multivariate binomial and Poisson distribution”, Sankhyā, 11, 117–124.
81.
McGuireJ.U.BrindleyT.A. and BancroftT.A., 1957, “The distribution of European corn borer larvae Pyrausta Nubilalis (hbn) in field corn”, Biometrics, 13, 65–78; 14, 432–434 (errata and extensions).
82.
MacedaE.C., 1948, “On the compound and generalized Poisson distributions”, Annals of Mathematical Statistics, 19, 414–416.
83.
MannH.B. and WaldA., 1942, “On the choice of the number of intervals in the application of the χ2 test”, Annals of Mathematical Statistics, 13.
84.
MaritzJ.S., 1950, “On the validity of inferences drawn from the fitting of Poisson and negative binomial distributions to observed accident data”, Psychological Bulletin, 47, 434–443.
85.
MaritzJ.S., 1952, “Note on a certain family of discrete distributions”, Biometrika, 39, 196–198.
86.
MartinD.C. and KattiS.K., 1965, “Fitting of certain contagious distributions to some available data by the maximum likelihood method”, Biometrics, 21, 34–48.
87.
MatuszewskiT.I., 1962, “Some properties of Pascal distribution for finite population”, Journal of the American Statistical Association, 57, 172–174.
88.
MooreP.J., 1954, “Spacing in plant populations”, Ecology, 35, 222–227.
89.
MorisitaM., 1954, “Estimation of population density by spacing method”, Memoirs of the Faculty of Science, Kyushu University, E, I, 187–197.
90.
NausJ.I., 1965, “Clustering of random points in two dimensions”, Biometrika, 52, 263–267.
91.
NeymanJ. and ScottE.L., 1952, “A theory of the spatial distribution of galaxies”, Astrophysical Journal, 116, 144–163.
92.
NeymanJ. and ScottE.L., 1957, “On a mathematical theory of populations conceived as conglomerations of clusters”, Cold Spring Harbour Symposia on Quantitative Biology,. 22, 109–120.
93.
NeymanJ. and ScottE.L., 1959, “Stochastic models of population dynamics”, Science, 130, 303–308.
94.
O'CarrollF.M., 1962, “Fitting a negative binomial distribution to coarsely grouped data by maximum likelihood”, Applied Statistics, 11, 196–201.
95.
OttestadP., 1944, “On certain compound frequency distributions”, Skandinavisk Aktuarietidskrift, 27, 32–42.
96.
PatilG.P., 1960, “On the evaluation of the negative binomial distribution with examples”, Technometrics, 2, 501–505.
97.
PatilG.P., 1962, “Maximum likelihood estimation for generalized power series distributions and its application to a truncated binomial distribution”, Biometrika, 49, 227–238.
98.
PatilG.P., 1962, “Certain properties of the generalized power series distribution”, Annals of the Institute of Statistical Mathematics, Tokyo, 14, 179–182.
99.
PatilG.P., 1964, “On certain compound Poisson and compound binomial distributions”, Sankhyā, A, 26, 293–294.
100.
PatilG.P., 1965, “Certain characteristic properties of multivariate discrete probability distributions akin to the Bates-Neyman model in the theory of accident proneness”, Sankhyā, A, 26, 259–270.
101.
PatilG.P. and BildikarS., 1967, “Multivariate logarithmic series distribution as a probability model in population and community ecology and some of its statistical properties”, Journal of the American Statistical Association, 62, 655–674.
102.
PielouE.C., 1957, “The effect of quadrat size on the estimation of the parameters of Neyman's and Thomas's distributions”, Journal of Ecology, 45, 31–47.
103.
PielouE.C., 1960, “A single mechanism to account for regular, random, and aggregated populations”, Journal of Ecology, 48, 575–584.
104.
QuenouilleM.H., 1949, “A relation between the logarithmic, Poisson, and negative binomial series”. Biometrics, 5, 162–164.
105.
RobinsonP., 1954, “The distribution of plant populations”, Annals of Botany, London, N.S., 18, 35–45.
SchillingW., 1947, “A frequency distribution represented as the sum of two Poisson distributions”, Journal of the American Statistical Association, 42, 407–424.
108.
ShentonL.R., 1949, “On the efficiency of the method of moments and Neyman's Type A distribution”, Biometrika, 36, 450–454.
109.
ShentonL.R., 1950, “Maximum likelihood and the efficiency of the method of moments”, Biometrika, 37, 111–116.
110.
ShentonL.R., 1958, “Moment estimators and maximum likelihood”, Biometrika, 45, 411–420.
111.
ShentonL.R., 1959, “The distribution of moment estimators”, Biometrika, 46, 296–305.
112.
ShentonL.R. and WallingtonP.A., 1962, “The bias of moment estimators with an application to the negative binomial distribution”, Biometrika, 49, 193–204.
113.
ShumwayR. and GurlandJ., 1960a, “Fitting the Poisson binomial distribution”, Biometrics, 16, 522–533.
114.
ShumwayR. and GurlandJ., 1960a, “A fitting procedure for some generalized Poisson distributions”, Skandinavisk Aktuarietidskrift, 43, 87–108.
115.
SibuyaM.YoshimuraI., and ShimizuR., 1964, “Negative multinomial distribution”, Annals of the Institute of Statistical Mathematics, 16, 409–426.
116.
SichelH.S., 1951, “The estimation of the parameters of a negative binomial distribution with special reference to psychological data”, Psychometrika, 16, 107–127.
117.
SkellamJ.G., 1948, “A probability distribution derived from the binomial distribution by regarding the probability of success as variable between the sets of trials”, Journal of the Royal Statistical Society, B, 10B, 257–261.
118.
SkellamJ.G., 1958, “On the derivation and applicability of Neyman Type A distribution”, Biometrika, 45, 32–36.
119.
SomervilleP.N., 1957, “Optimum sampling in binomial populations”, Journal of the American Statistical Association, 52, 494–502.
120.
SprottD.A., 1958, “The method of maximum likelihood applied to the Poisson binomial distribution”, Biometrika, 14, 97–106.
121.
SubrahmaniamK., 1965, “On a general class of contagious distributions: The Pascal-Poisson distribution”. Paper No.356, Department of Biostatistics, Johns Hopkins University, Baltimore, Maryland.
122.
SukhatmeP.V., 1938, “On the distribution of X2 in samples of the Poisson series”, Journal of the Royal Statistical Society, 1, 75–79.
TeicherH., 1960, “On the mixture of distribution”, Annals of Mathematical Statistics, 31, 55–73.
125.
ThomasM., 1949, “A generalization of Poisson's binomial limit for use in ecology”, Biometrika, 36, 18–25.
126.
ThompsonH.R., 1954, “A note on contagious distributions”, Biometrika, 41, 268–271.
127.
ThompsonH.R., 1955, “Spatial point processes with application to ecology”, Biometrika, 42, 102–115.
128.
ThompsonH.R., 1958, “The statistical study of plant distribution patterns using a grid of quadrats”, Australian Journal of Botany, 6, 322–343.
129.
ToriiT., 1956, The Stochastic Approach in Field Population Ecology, Japan Society for the Promotion of Science, Tokyo.
130.
TweedieM.C.K., 1952, “The estimation of parameters for sequentially sampled data on a discrete distribution”, Journal of the Royal Statistical Society, B, 14, 238–245.
131.
WalshJ.E., 1963, “Bounded probability properties of Kolmogorov-Smirnov and similar statistics for discrete data”, Annals of the Institute of Statistical Mathematics, 15, 153–158.
132.
WilliamsC.A.Jr., 1950, “On the choice of the number and width of classes for the chi-square test of goodness of fit”, Journal of the American Statistical Association, 45, 77–86.