Holgate, Philip Independent functions: Probability and analysis in Poland between the wars. (English) Zbl 0892.60004 Biometrika 84, No. 1, 161-173 (1997). Reviewer: A.Dale (Durban) MSC: 60-03 01A60 PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 84, No. 1, 161--173 (1997; Zbl 0892.60004) Full Text: DOI Link
Holgate, P. Logarithmetics and quasigroup structure. (English) Zbl 0827.20081 Czech. Math. J. 44, No. 2, 293-304 (1994). Reviewer: E.Brožíková (Praha) MSC: 20N05 11A07 PDF BibTeX XML Cite \textit{P. Holgate}, Czech. Math. J. 44, No. 2, 293--304 (1994; Zbl 0827.20081) Full Text: EuDML
Holgate, Philip Groupoids satisfying a simple invertive law. (English) Zbl 0900.20160 Math. Stud. 61, No. 1-4, 101-106 (1992). MSC: 20N02 20M14 PDF BibTeX XML Cite \textit{P. Holgate}, Math. Stud. 61, No. 1--4, 101--106 (1992; Zbl 0900.20160)
Holgate, Philip Algebras related to Penrose-Smith transformations. (English) Zbl 0871.17031 Nova J. Algebra Geom. 1, No. 2, 133-150 (1992). Reviewer: A.H.Boers (Rijswijk) MSC: 17D92 51N10 92D10 51N15 PDF BibTeX XML Cite \textit{P. Holgate}, Nova J. Algebra Geom. 1, No. 2, 133--150 (1992; Zbl 0871.17031)
Holgate, P. The multilocus Hardy-Weinberg law. (English) Zbl 0757.92013 J. Math. Biol. 31, No. 1, 101-106 (1992). MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{P. Holgate}, J. Math. Biol. 31, No. 1, 101--106 (1992; Zbl 0757.92013) Full Text: DOI
Holgate, Philip Biometric and chromosome algebras. (English) Zbl 0755.17019 J. Appl. Probab. 29, No. 2, 247-254 (1992). Reviewer: M.Bertrand (Mont-Saint-Aignan) MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 29, No. 2, 247--254 (1992; Zbl 0755.17019) Full Text: DOI
Holgate, Philip Plenary stable quasigroups. (English) Zbl 0734.20032 Commentat. Math. Univ. Carol. 32, No. 1, 1-7 (1991). Reviewer: C.Pereira da Silva (Curitiba) MSC: 20N05 PDF BibTeX XML Cite \textit{P. Holgate}, Commentat. Math. Univ. Carol. 32, No. 1, 1--7 (1991; Zbl 0734.20032) Full Text: EuDML
Hentzel, Irvin Roy; Peresi, Luiz Antonio; Holgate, Philip On \(k\)th-order Bernstein algebras and stability at the \(k+1\) generation in polyploids. (English) Zbl 0726.17040 IMA J. Math. Appl. Med. Biol. 7, No. 1, 33-40 (1990). Reviewer: E.W.Wallace (Leeds) MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{I. R. Hentzel} et al., IMA J. Math. Appl. Med. Biol. 7, No. 1, 33--40 (1990; Zbl 0726.17040)
Holgate, P. Algebras of genetic self-incompatibility systems. (English) Zbl 0713.17021 Proc. R. Soc. Lond., Ser. A 427, No. 1873, 359-369 (1990). Reviewer: M.Bertrand MSC: 17D92 17D25 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Proc. R. Soc. Lond., Ser. A 427, No. 1873, 359--369 (1990; Zbl 0713.17021) Full Text: DOI
Campos, Tania M. M.; Machado, Silvia D. A.; Holgate, Philip Sex dependent genetic recombination rates for several loci. (English) Zbl 0711.92012 Linear Algebra Appl. 136, 165-172 (1990). Reviewer: H.Gonshor MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{T. M. M. Campos} et al., Linear Algebra Appl. 136, 165--172 (1990; Zbl 0711.92012) Full Text: DOI
Holgate, Philip Lattice points in a random parallelogram. (English) Zbl 0698.60014 Adv. Appl. Probab. 22, No. 2, 484-485 (1990). Reviewer: P.Holgate MSC: 60D05 PDF BibTeX XML Cite \textit{P. Holgate}, Adv. Appl. Probab. 22, No. 2, 484--485 (1990; Zbl 0698.60014) Full Text: DOI
Holgate, P. The lognormal characteristic function. (English) Zbl 0721.60012 Commun. Stat., Theory Methods 18, No. 12, 4539-4548 (1989). MSC: 60E10 62E20 62E10 PDF BibTeX XML Cite \textit{P. Holgate}, Commun. Stat., Theory Methods 18, No. 12, 4539--4548 (1989; Zbl 0721.60012) Full Text: DOI
Holgate, Philip Some power series with random gaps. (English) Zbl 0679.60051 Adv. Appl. Probab. 21, No. 3, 708-710 (1989). Reviewer: N.Gamkrelidze MSC: 60F99 PDF BibTeX XML Cite \textit{P. Holgate}, Adv. Appl. Probab. 21, No. 3, 708--710 (1989; Zbl 0679.60051) Full Text: DOI
Holgate, P. The entropic law in genetic algebra. (English) Zbl 0671.17021 Rev. Roum. Math. Pures Appl. 34, No. 3, 231-234 (1989). Reviewer: M.Bertrand MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Rev. Roum. Math. Pures Appl. 34, No. 3, 231--234 (1989; Zbl 0671.17021)
Holgate, Philip Some infinite dimensional genetic algebras. (English) Zbl 0760.17026 Algèbres génétiques, Cah. Math., Montpellier 38, 35-45 (1989). Reviewer: S.Walcher (München) MSC: 17D92 17A50 92D25 PDF BibTeX XML
Holgate, Philip Conditions for the linearisation of the squaring operation in genetic algebras. A review. (English) Zbl 0760.17025 Algèbres génétiques, Cah. Math., Montpellier 38, 23-33 (1989). Reviewer: S.Walcher (München) MSC: 17D92 17A30 92D25 PDF BibTeX XML
Holgate, Philip A train algebra that is not special triangular. (English) Zbl 0616.17011 Arch. Math. 50, No. 2, 122-124 (1988). MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Arch. Math. 50, No. 2, 122--124 (1988; Zbl 0616.17011) Full Text: DOI
Holgate, P. Some train algebras that are special triangular. (English) Zbl 0706.17020 Math. Stud. 55, No. 2-4, 135-139 (1987). Reviewer: E.W.Wallace MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Math. Stud. 55, No. 2--4, 135--139 (1987; Zbl 0706.17020)
Holgate, Philip; Machado, Silvia D. A. Recombination between several polyploid loci. (English) Zbl 0652.92010 J. Math. Biol. 25, 637-642 (1987). Reviewer: G.Karigl MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{P. Holgate} and \textit{S. D. A. Machado}, J. Math. Biol. 25, 637--642 (1987; Zbl 0652.92010) Full Text: DOI
Campos, Tania M. M.; Holgate, Philip Algebraic isotopy in genetics. (English) Zbl 0628.92018 IMA J. Math. Appl. Med. Biol. 4, 215-222 (1987). Reviewer: M.Bertrand MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{T. M. M. Campos} and \textit{P. Holgate}, IMA J. Math. Appl. Med. Biol. 4, 215--222 (1987; Zbl 0628.92018)
Holgate, P. The interpretation of derivations in genetic algebras. (English) Zbl 0603.92013 Linear Algebra Appl. 85, 75-79 (1987). MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{P. Holgate}, Linear Algebra Appl. 85, 75--79 (1987; Zbl 0603.92013) Full Text: DOI
Holgate, P. Waring and Sylvester on random algebraic equations. (English) Zbl 0598.01004 Biometrika 73, 228-231 (1986). Reviewer: O. B. Sheynin MSC: 01A50 01A55 60-03 PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 73, 228--231 (1986; Zbl 0598.01004) Full Text: DOI
Holgate, P. Recurrence relations for linear mating schemes. (English) Zbl 0569.92013 Indag. Math. 47, 199-206 (1985). Reviewer: H.Gonshor MSC: 92D10 17D92 PDF BibTeX XML Cite \textit{P. Holgate}, Indag. Math. 47, 199--206 (1985; Zbl 0569.92013)
Holgate, P. Free non-associative principal train algebras. (English) Zbl 0555.17006 Proc. Edinb. Math. Soc., II. Ser. 27, 313-319 (1984). Reviewer: Harry Gonshor MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Proc. Edinb. Math. Soc., II. Ser. 27, 313--319 (1984; Zbl 0555.17006) Full Text: DOI
Holgate, P. The influence of Huygens’ work in dynamics on his contribution to probability. (English) Zbl 0554.01012 Int. Stat. Rev. 52, 137-140 (1984). Reviewer: H.J.M.Bos MSC: 01A45 60-03 70-03 PDF BibTeX XML Cite \textit{P. Holgate}, Int. Stat. Rev. 52, 137--140 (1984; Zbl 0554.01012) Full Text: DOI
Holgate, P. The natural boundary problem for random power series with degenerate tail fields. (English) Zbl 0524.60065 Ann. Probab. 11, 814-816 (1983). MSC: 60H99 30B20 30B30 PDF BibTeX XML Cite \textit{P. Holgate}, Ann. Probab. 11, 814--816 (1983; Zbl 0524.60065) Full Text: DOI
Holgate, P. The statistical entropy of a sample from a community of species. (English) Zbl 0506.62094 Biometrics 37, 795-799 (1981). MSC: 62P10 62B10 92D40 PDF BibTeX XML Cite \textit{P. Holgate}, Biometrics 37, 795--799 (1981; Zbl 0506.62094) Full Text: DOI
Holgate, Philip Buffon’s cycloid. (English) Zbl 0499.60002 Biometrika 68, 712-716 (1981). MSC: 60-03 01A50 60D05 PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 68, 712--716 (1981; Zbl 0499.60002) Full Text: DOI
Holgate, P. Linked loci in finite populations. (English) Zbl 0474.92011 J. Appl. Probab. 18, 789-798 (1981). MSC: 92D10 62P10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 18, 789--798 (1981; Zbl 0474.92011) Full Text: DOI
Holgate, P. Population algebras (with discussion). (English) Zbl 0472.92008 J. R. Stat. Soc., Ser. B 43, 1-20 (1981). MSC: 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, J. R. Stat. Soc., Ser. B 43, 1--20 (1981; Zbl 0472.92008)
Holgate, P. Genetic algebras for some inbreeding systems. (English) Zbl 0433.92015 Proc. R. Soc. Edinb., Sect. A 86, 65-74 (1980). MSC: 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, Proc. R. Soc. Edinb., Sect. A, Math. 86, 65--74 (1980; Zbl 0433.92015) Full Text: DOI
Holgate, Philip Les grades de certaines algèbres genetiques. (French) Zbl 0421.92012 C. R. Acad. Sci., Paris, Sér. A 290, 363-365 (1980). MSC: 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, C. R. Acad. Sci., Paris, Sér. A 290, 363--365 (1980; Zbl 0421.92012)
Holgate, P. Notes on information in population genetics. (English) Zbl 0436.92009 J. Appl. Probab. 16, 473-481 (1979). MSC: 92D10 62B10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 16, 473--481 (1979; Zbl 0436.92009) Full Text: DOI
Holgate, P. Canonical multiplication in the genetic algebra for linked loci. (English) Zbl 0408.92004 Linear Algebra Appl. 26, 281-287 (1979). MSC: 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, Linear Algebra Appl. 26, 281--287 (1979; Zbl 0408.92004) Full Text: DOI
Holgate, P. Selfing in genetic algebras. (English) Zbl 0387.92008 J. Math. Biol. 6, 197-206 (1978). MSC: 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Math. Biol. 6, 197--206 (1978; Zbl 0387.92008) Full Text: DOI
Piva, Margot; Holgate, Philip The eigenvectors of a finite population model. (English) Zbl 0365.92029 Ann. Hum. Genet. 41, 103-106 (1977). MSC: 92D10 60J10 PDF BibTeX XML Cite \textit{M. Piva} and \textit{P. Holgate}, Ann. Hum. Genet. 41, 103--106 (1977; Zbl 0365.92029) Full Text: DOI
Holgate, P. Direct products of genetic algebras and Markov chains. (English) Zbl 0356.92013 J. Math. Biol. 3, 289-295 (1976). MSC: 92D10 17A99 60J10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Math. Biol. 3, 289--295 (1976; Zbl 0356.92013) Full Text: DOI
Holgate, P. The total number of heterozygotes before fixation. (English) Zbl 0349.92021 J. Appl. Probab. 13, 201-207 (1976). MSC: 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 13, 201--207 (1976; Zbl 0349.92021) Full Text: DOI
Holgate, P. Genetic algebras satisfying Bernstein’s stationarity principle. (English) Zbl 0365.92025 J. Lond. Math. Soc., II. Ser. 9, 613-623 (1975). MSC: 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, J. Lond. Math. Soc., II. Ser. 9, 613--623 (1975; Zbl 0365.92025) Full Text: DOI
Holgate, P. A note on random power series with identical one dimensional marginal distributions. (English) Zbl 0309.60039 Progress in Statistics, Europ. Meeting Budapest 1972, Coll. Math. Soc. Janos Bolyai 9, 319-322 (1974). MSC: 60H99 PDF BibTeX XML
Brown, Susannah; Holgate, P. The thinned plantation. (English) Zbl 0284.60047 Biometrika 61, 253-261 (1974). MSC: 60G99 PDF BibTeX XML Cite \textit{S. Brown} and \textit{P. Holgate}, Biometrika 61, 253--261 (1974; Zbl 0284.60047) Full Text: DOI
Holgate, P. The use of distance methods for the analysis of spatial distribution of points. (English) Zbl 0263.62059 Stochastic Point Processes, statist. Analysis Theory Appl., 122-135 (1972). MSC: 62M99 60K99 62N99 PDF BibTeX XML
Holgate, P. Characterisations of genetic algebras. (English) Zbl 0261.17014 J. Lond. Math. Soc., II. Ser. 6, 169-174 (1972). MSC: 17A99 92D10 17D99 PDF BibTeX XML Cite \textit{P. Holgate}, J. Lond. Math. Soc., II. Ser. 6, 169--174 (1972; Zbl 0261.17014) Full Text: DOI
Holgate, P. Saturation of random integer sequences. (English) Zbl 0259.10050 J. Lond. Math. Soc., II. Ser. 6, 137-138 (1972). MSC: 11B83 60B99 PDF BibTeX XML Cite \textit{P. Holgate}, J. Lond. Math. Soc., II. Ser. 6, 137--138 (1972; Zbl 0259.10050) Full Text: DOI
Holgate, P. On a class of psychological experiments. (English) Zbl 0283.92025 Ann. Inst. Stat. Math. 23, 321-325 (1971). MSC: 91E99 PDF BibTeX XML Cite \textit{P. Holgate}, Ann. Inst. Stat. Math. 23, 321--325 (1971; Zbl 0283.92025) Full Text: DOI
Holgate, P. Genetic algebras associated with sex linkage. (English) Zbl 0259.92005 Proc. Edinb. Math. Soc., II. Ser. 17, 113-120 (1970). MSC: 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Proc. Edinb. Math. Soc., II. Ser. 17, 113--120 (1970; Zbl 0259.92005) Full Text: DOI
Holgate, P. Power series whose coefficients form homogeneous random processes. (English) Zbl 0232.60039 Z. Wahrscheinlichkeitstheor. Verw. Geb. 15, 97-103 (1970). MSC: 60H99 60F20 PDF BibTeX XML Cite \textit{P. Holgate}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 15, 97--103 (1970; Zbl 0232.60039) Full Text: DOI
Holgate, P. The modality of some compound Poisson distributions. (English) Zbl 0203.52002 Biometrika 57, 666-667 (1970). PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 57, 666--667 (1970; Zbl 0203.52002) Full Text: DOI
Holgate, P. Majorants of the chromatic number of a random graph. (English) Zbl 0212.24501 J. R. Stat. Soc., Ser. B 31, 303-309 (1969). MSC: 90C35 94C15 PDF BibTeX XML Cite \textit{P. Holgate}, J. R. Stat. Soc., Ser. B 31, 303--309 (1969; Zbl 0212.24501)
Holgate, P. Species frequency distributions. (English) Zbl 0183.48702 Biometrika 56, 651-660 (1969). PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 56, 651--660 (1969; Zbl 0183.48702) Full Text: DOI
Holgate, P. Interaction between migration and breeding studied by means of genetic algebras. (English) Zbl 0165.23402 J. Appl. Probab. 5, 1-8 (1968). PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 5, 1--8 (1968; Zbl 0165.23402) Full Text: DOI
Holgate, P. The genetic algebra of k linked loci. (English) Zbl 0157.26703 Proc. Lond. Math. Soc., III. Ser. 18, 315-327 (1968). PDF BibTeX XML Cite \textit{P. Holgate}, Proc. Lond. Math. Soc. (3) 18, 315--327 (1968; Zbl 0157.26703) Full Text: DOI
Holgate, P. Divergent population processes and mammal outbreaks. (English) Zbl 0212.19903 J. Appl. Probab. 4, 1-8 (1967). MSC: 60J80 92D40 PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 4, 1--8 (1967; Zbl 0212.19903) Full Text: DOI
Holgate, P. Sequences of powers in genetic algebras. (English) Zbl 0163.03103 J. Lond. Math. Soc. 42, 489-496 (1967). PDF BibTeX XML Cite \textit{P. Holgate}, J. Lond. Math. Soc. 42, 489--496 (1967; Zbl 0163.03103) Full Text: DOI
Holgate, P. Jordan algebras arising in population genetics. (English) Zbl 0153.36304 Proc. Edinb. Math. Soc., II. Ser. 15, 291-294 (1967). PDF BibTeX XML Cite \textit{P. Holgate}, Proc. Edinb. Math. Soc., II. Ser. 15, 291--294 (1967; Zbl 0153.36304) Full Text: DOI
Holgate, P. Recurrence of sums of multiple Markov sequences. (English) Zbl 0158.36001 Isr. J. Math. 4, 208-212 (1966). PDF BibTeX XML Cite \textit{P. Holgate}, Isr. J. Math. 4, 208--212 (1966; Zbl 0158.36001) Full Text: DOI
Holgate, P. Bivariate generalizations of Neyman’s type A distribution. (English) Zbl 0147.19303 Biometrika 53, 241-245 (1966). PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 53, 241--245 (1966; Zbl 0147.19303) Full Text: DOI
Holgate, P. Genetic algebras associated with polyploidy. (English) Zbl 0144.27202 Proc. Edinb. Math. Soc., II. Ser. 15, 1-9 (1966). Reviewer: E. M. Patterson (Aberdeen) MSC: 17D92 92D10 PDF BibTeX XML Cite \textit{P. Holgate}, Proc. Edinb. Math. Soc., II. Ser. 15, 1--9 (1966; Zbl 0144.27202) Full Text: DOI
Holgate, P. A mathematical study of the founder principle of evolutionary genetics. (English) Zbl 0139.14102 J. Appl. Probab. 3, 115-128 (1966). PDF BibTeX XML Cite \textit{P. Holgate}, J. Appl. Probab. 3, 115--128 (1966; Zbl 0139.14102) Full Text: DOI
Holgate, P. Estimation for the bivariate Poisson distribution. (English) Zbl 0133.11802 Biometrika 51, 241-245 (1964). PDF BibTeX XML Cite \textit{P. Holgate}, Biometrika 51, 241--245 (1964; Zbl 0133.11802) Full Text: DOI