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Journal articles on the topic 'AMS subject classification'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Rosalsky, Andrew. "On the Limiting Behavior of a Random Walk." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 1–11. http://dx.doi.org/10.1177/0008068319930101.

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2

V.V., Latpate. "STUDY OF COMMON FIXED POINT RESULT OF PAIR OF SELF MAPS IN G-METRIC SPACE." International Journal of Advanced Research 11, no. 07 (2023): 590–94. http://dx.doi.org/10.21474/ijar01/17263.

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3

Anitha.N and Latha.M. "Isomorphism and Anti Isomorphism in (Q,L)-Fuzzy Translation of (Q,L)--Fuzzy Subhemirings of A Hemiring." INTERNATIONAL JOURNAL OF SCIENCE TECHNOLOGY AND HUMANITIES 2, no. 2 (2015): 51–54. http://dx.doi.org/10.26524/ijsth54.

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4

Bagui, Subhash C. "An NN Classification Rule for Multiple Observations." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 45–56. http://dx.doi.org/10.1177/0008068319930104.

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We consider the problem of classifying multiple ( m) observations into one of two populations using a nearest neighbor ( NN) type rule. We derive the limiting risk R( m) of the proposed NN rule. For m = 2, we obtain an improved upper bound for R( m) and show that R( m) ⩽ R( m-I) for m = 2, 3. AMS (1980) Subject classification: Primary 62H30; Secondary 62F15.

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5

Manova-Erakovik, Vesna, N. Pandeski, and Lj Nastovski. "Distribution analogue of the Tumarkin result." Bulletin: Classe des sciences mathematiques et natturalles 133, no. 31 (2006): 69–73. http://dx.doi.org/10.2298/bmat0631069m.

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We give a distribution analogue of the Tumarkin result that concerns approximation of some functions by sequence of rational functions with given poles. AMS Mathematics Subject Classification (2000): 46F20, 30E25, 32A35.

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6

Bandyopadhyay, Uttam, and Pritam Sarkar. "On Fixed width Confidence Interval Estimation of the Common Mean in Symmetric Multivariate Normal Distribution." Calcutta Statistical Association Bulletin 71, no. 2 (2019): 113–20. http://dx.doi.org/10.1177/0008068319886180.

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This article deals with purely and accelerated sequential sampling procedures to find fixed-width confidence interval of completely symmetric multivariate normal mean. Procedures are studied asymptotically and are evaluated numerically. AMS 2000 subject classification: 62F25 62H12

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7

Bishwal, J. P. N., and Arup Bose. "Speed of Convergence of the Maximum Likelihood Estimator in the Ornstein-Uhlenbeck Process." Calcutta Statistical Association Bulletin 45, no. 3-4 (1995): 245–52. http://dx.doi.org/10.1177/0008068319950310.

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Berry-Bsseen bounds with random norming and Jario deviation probabilities arc derived for the maximum likelihood estimator of the drift parameter in tho Ornstoin-Uhlenbeck proccss. AMS (1991) Subject Classification: Primary 62F12, 62M05 Secondary 60FOS, 60F10

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8

O.P, Gupta* &. Madhuri .Shrama. "FIXED POINT THEOREMS IN BANACH SPACE AND 2-BANACH SPACE." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES [FRTSSDS- June 2018] (June 20, 2018): 137–43. https://doi.org/10.5281/zenodo.1293831.

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We generalize the result of Goebel and Zlotkiewiez [5] and also we prove fixed point theorems in Banach and 2-Banach spaces in this paper.   <strong>Subject Classification (AMS 2000)  :</strong>  47H10, 54H25

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9

Muhiuddin, G., N. Sridharan, D. Al-Kadi, S. Amutha, and M. E. Elnair. "Reinforcement Number of a Graph with respect to Half-Domination." Journal of Mathematics 2021 (April 14, 2021): 1–7. http://dx.doi.org/10.1155/2021/6689816.

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In this paper, we introduce the concept of reinforcement number with respect to half-domination and initiate a study on this parameter. Furthermore, we obtain various upper bounds for this parameter. AMS subject classification: 05C38, 05C40, 05C69.

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10

Vanathi, K., V. S. A. Subramanian, and K. Arjunan. "Notes on Q-Intuitionistic Fuzzy Subsemiring of a Semiring." International Journal of Mathematical Research 3, no. 2 (2014): 15–24. http://dx.doi.org/10.18488/journal.24/2014.3.2/24.2.15.24.

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In this paper, we make an attempt to study the algebraic nature of Q-intuitionistic fuzzy subsemiring of a semiring and some properties of Q-intuitionistic fuzzy subsemiring of a semiring are investigated. AMS Mathematics Subject Classification (2010): 06D72, 08A72, 03F55.

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11

Mitra, Murari, Sujit K. Basu, and M. C. Bhattacharjee. "Characterizing the Exponential Law Under Laplace Order Domination." Calcutta Statistical Association Bulletin 45, no. 3-4 (1995): 171–78. http://dx.doi.org/10.1177/0008068319950304.

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Interesting characterizations of the exponential distribution have been obtained in classes of life distributions important in reliability theory. The results strengthen some of the analogous conclusions already existing in the literature. AMS (1991) Subject Classification No. Primary 62NOS: Secondaey 90825. 60F99.

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12

Ravi, S. "Limit Laws for Power Normalized Partial Maxima of Independent Random Variables Having one of m Specified Distributions." Calcutta Statistical Association Bulletin 50, no. 1-2 (2000): 1–16. http://dx.doi.org/10.1177/0008068320000101.

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Suppose [Formula: see text] are independent observations from [Formula: see text] distribution functions. In this paper we discuss the asymptotic behaviour of power normalized partial maxima under some assumptions on the distribution functions. AMS (2000} Subject Classification: Primary 60F99; Secondary 60E99.

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13

Shvidkoy, Roman. "A DIMENSION-DEPENDENT MAXIMAL INEQUALITY." Proceedings of the Edinburgh Mathematical Society 45, no. 3 (2002): 547–48. http://dx.doi.org/10.1017/s0013091502000287.

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AbstractIn this short note we show that $\sup\{\|M_\nu\|:\nu\text{ is a measure on }\mathbb{R}^n\}$, where $\|M_\nu\|$ denotes the centred Hardy–Littlewood maximal operator, depends exponentially on $n$.AMS 2000 Mathematics subject classification: Primary 42B25

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14

Begum, Anjuman A., and A. H. Khan. "Concomitants of Order Statistics from Marshall and Olkin's Bivariate Weibull Distribution." Calcutta Statistical Association Bulletin 50, no. 1-2 (2000): 65–70. http://dx.doi.org/10.1177/0008068320000106.

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The probability density function (pdf) of the rth, 1 ≤ r ≤ n, concomitants of ordered statistics are derived for Marshall and Olkin's bivariate Weibull distribution and their moments are obtained. Also their means and variances are tabulated. AMS (2000) Subject Classification: 62E15, 62G30.

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15

Sangeetha, T., and S. Senthamil Selvi. "Fuzzy Congruence Relations in Generalized Almost Distributive Fuzzy Lattices." Journal of Physics: Conference Series 2089, no. 1 (2021): 012067. http://dx.doi.org/10.1088/1742-6596/2089/1/012067.

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Abstract This paper defines the fuzzy congruence relation of GADFL (Generalized nearly distributive fuzzy lattices). The ideas of θ - ideal and θ - Prime ideal are introduced in GADFL, and the fuzzy congruence relation is used to explain these ideals. AMS subject classification: 06D72, 06F15, 08A72.

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16

GOYAL, A. K. "Common Fixed Point Theorems For Weakly Compatible Mappings In Symmetric Spaces." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 11, no. 3 (2020): 2230–34. http://dx.doi.org/10.61841/turcomat.v11i3.13823.

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In this paper some common fixed point theorem has been established by using weakly compatible mappings and E.A property which improves and extends similar known results in the literature.Key words: Symmetric spaces, common fixed points, weakly compatible mappings.2010 AMS SUBJECT CLASSIFICATION CODE : 54H25, 47H10

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17

Uzoamaka Azuka Ezeafulukwe. "Certain properties of the multivalent class of a second order inequality." World Journal of Advanced Research and Reviews 18, no. 3 (2023): 1595–99. http://dx.doi.org/10.30574/wjarr.2023.18.3.0799.

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In this article, we define a class of multivalent function and calculate the necessary and sufficient condition for a function to be in such class. Using some relations among and 1 + , we show that function in this family is convex. AMS Subject Classification: 30C45

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18

Ding, Yong, and Yibiao Pan. "$L^{p}$ BOUNDS FOR MARCINKIEWICZ INTEGRALS." Proceedings of the Edinburgh Mathematical Society 46, no. 3 (2003): 669–77. http://dx.doi.org/10.1017/s0013091501000682.

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AbstractIn this paper the authors establish the $L^p$ boundedness for several classes of Marcinkiewicz integral operators with kernels satisfying a condition introduced by Grafakos and Stefanov in Indiana Univ. Math. J.47 (1998), 455–469.AMS 2000 Mathematics subject classification: Primary 42B25; 42B99

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19

Mukhopadhyay, N., and S. Chattopadhyay. "Simultaneous Estimation of Proportions in a Finite Population." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 65–74. http://dx.doi.org/10.1177/0008068319930106.

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Sequential and multistage sampling strategies via simple random sampling without replacement, are proposed for simultaneously estimating several proportions in a finite population. Various asymptotic first-order properties are addressed, while some limited moderate sample performance have also been included. AMS (1980) Subject Classification: Primary 62L99; Secondary 62L12

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20

Sarkar, Palash, and Bimal Roy. "Construction of Nearly Balanced Uniform Repeated Measurement Designs." Calcutta Statistical Association Bulletin 45, no. 3-4 (1995): 235–44. http://dx.doi.org/10.1177/0008068319950309.

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Nearly balanced uniform repeated measurement designs are defined and construction of such designs when the number of units is less than or equal to the number of treatments and the numbers of periods is less than the number of treatments, is given. AMS (1980) subject classification : 62K05.

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21

Prakasha, K. N. "Inverse Sum Status Energy of a Graph." International Journal for Research in Applied Science and Engineering Technology 9, no. VI (2021): 86–92. http://dx.doi.org/10.22214/ijraset.2021.34849.

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Motivated by the inverse sum status index, we introduce the inverse sum status matrix ISS={■((σ_u σ_v)/((σ_u+σ_v ) ) if u_i~v_j,@0 otherwise)┤ Thus we also obtained the results for well known graphs. Keywords: Inverse sum status energy, Inverse Sum Indeg matrix. 2010 AMS Subject Classification: 05C50.

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22

Mandal, N. K., and K. R. Shah. "Designs Robust Against Aberrations." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 95–108. http://dx.doi.org/10.1177/0008068319930109.

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In this paper, we obtain sufficient conditions for a design to be robust against aberrations in the sense of Box and Draper. Block designs, row-column designs and fractional designs are considered here. An alternative formulation of robustness is also presented. AMS Subject Classification: Primary 62K99; Secondary 62K05.

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23

Bhattacharya, Rahul, S. Maiti Sudhansu, Mouli Choudhury Mriganka, and Dipangsu Mukherjee. "Minimum Variance Unbiased Estimation of Reliability Function for a Class of Generalizations of Lindley Distribution." Calcutta Statistical Association Bulletin 72, no. 1 (2020): 43–57. http://dx.doi.org/10.1177/0008068320923428.

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Uniformly minimum variance unbiased (UMVU) estimators of reliability function (both stress–strength and mission time) and the associated variance are derived for a class of generalization of Lindley distribution. The application of the results is further validated by a real data study. AMS 2020 subject classification: 62N05 62F10

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24

Villena, A. R. "EPIMORPHISMS ONTO DERIVATION ALGEBRAS." Proceedings of the Edinburgh Mathematical Society 46, no. 2 (2003): 379–82. http://dx.doi.org/10.1017/s0013091500001085.

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AbstractWe prove that the separating space of an epimorphism from a Lie–Banach algebra onto the (continuous) derivation algebra $\mathfrak{Der}(A)$ of a Banach algebra $A$ consists of derivations which map into the radical of $A$.AMS 2000 Mathematics subject classification: Primary 46H40; 46H70. Secondary 47B47; 47B48

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25

Mishra, M. N., and B. L. S. Prakasa Rao. "Estimation for a Misspecified Cusp-Type Signal Driven by a Fractional Brownian Motion." Calcutta Statistical Association Bulletin 74, no. 2 (2022): 79–96. http://dx.doi.org/10.1177/00080683221139081.

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We study the problem of misspecification when the model proposed by the statistician (theoretical model) has a cusp-type singularity in the drift but the real model has a smooth drift function and the driving force is a fractional Brownian motion. AMS subject classification: Primary 60G22; Secondary 62M09

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26

Jha, Naveen. "Some Fixed Point Theorems For Mappings Satisfying Contractive Conditions Of Integral Type." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10, no. 2 (2019): 1981–91. http://dx.doi.org/10.61841/turcomat.v10i2.14607.

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In this paper, we establish some common fixed-point theorems for two pairs of weakly compatible mappings satisfying integral type contractive conditions integral type in dislocated metric spaces by using E.A. which improves and extends similar known results in the literature. 2010 AMS Mathematics Subject Classification: 54H25, 47H10

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27

Bhandari, S. K., S. N. Hande, and M. Masoom Ali. "An Optimal Sequential Procedure for Ranking Pairwise Compared Treatments." Calcutta Statistical Association Bulletin 43, no. 3-4 (1993): 191–98. http://dx.doi.org/10.1177/0008068319930304.

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Scores of k players have been observed. Tho problem of selecting the player with highest expected wins is considered. An optimal sequential rule has been derived in this context, Its efficiency with the bost fixed sample size rule is considered at the common least favourable configuration. AMS 1980 Subject Classification: 62F07.

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28

Smitha, S., K. R. Muraleedharan Nair, and P. G. Sankaran. "On Measures of Affinity for Truncated Distributions." Calcutta Statistical Association Bulletin 59, no. 3-4 (2007): 151–62. http://dx.doi.org/10.1177/0008068320070303.

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Abstract: In the present paper we define affinity for truncated distributions and examine its properties. The relationship of this measure with other discrimination measures is examined. We also provide a characterization result for the proportional hazard model using the functional form of the truncated affinity. AMS (2000) Subject Classification: 62E10, 90B25

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29

Jayapandian, K., A. Vadivel, O. Uma Maheswari та J. Sathiyaraj. "Z_α Open and Closed Mappings in Double Fuzzy Topological Spaces". Journal of Physics: Conference Series 2070, № 1 (2021): 012022. http://dx.doi.org/10.1088/1742-6596/2070/1/012022.

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Abstract We introduce and investigate some new class of mappings called double fuzzy Zα-open map and double fuzzy Zα-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy Z α-open and other existing mappings. AMS (2000) subject classification: 54A40.

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30

Oberguggenberger, M. "Regularity theory in Colombeau algebras." Bulletin: Classe des sciences mathematiques et natturalles 133, no. 31 (2006): 147–62. http://dx.doi.org/10.2298/bmat0631148o.

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This paper introduces and discusses various notions of regularity of solutions to partial differential equations in Colombeau algebras. The aim is to suggest a number of approaches that allow to extend the regularity theory to nonlinear equations. A relation with the notion of delta waves is observed. AMS Mathematics Subject Classification (2000): 35D05, 35L60, 46F30.

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31

DiPasquale, Dana M., Gary E. Strangman, N. Stuart Harris, and Stephen R. Muza. "Acute Mountain Sickness Symptoms Depend on Normobaric versus Hypobaric Hypoxia." BioMed Research International 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/6245609.

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Acute mountain sickness (AMS), characterized by headache, nausea, fatigue, and dizziness when unacclimatized individuals rapidly ascend to high altitude, is exacerbated by exercise and can be disabling. Although AMS is observed in both normobaric (NH) and hypobaric hypoxia (HH), recent evidence suggests that NH and HH produce different physiological responses. We evaluated whether AMS symptoms were different in NH and HH during the initial stages of exposure and if the assessment tool mattered. Seventy-two 8 h exposures to normobaric normoxia (NN), NH, or HH were experienced by 36 subjects. Th

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32

S, Jai Kumar, and K. Alagesan. "The Asymptotic Behavior of Solutions of Second order Difference Equations With Damping Term." JOURNAL OF ADVANCES IN MATHEMATICS 14, no. 2 (2018): 7806–11. http://dx.doi.org/10.24297/jam.v14i2.7467.

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 The author presents some sufficient conditions for second order difference equation with damping term of the form  ^(an ^(xn + cxn-k)) + pn^xn + qnf(xn+1-l) = 0 An example is given to illustrate the main results. 2010 AMS Subject Classification: 39A11 Keywords and Phrases: Second order, difference equation, damping term.

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33

Vatti, V. B., Ramadevi Sri, and M. S. Mylapalli. "Eighteenth Order Convergent Method for Solving Non-Linear Equations." Oriental journal of computer science and technology 10, no. 1 (2017): 144–50. http://dx.doi.org/10.13005/ojcst/10.01.19.

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In this paper, we suggest and discuss an iterative method for solving nonlinear equations of the type f(x)=0 having eighteenth order convergence. This new technique based on Newton’s method and extrapolated Newton’s method. This method is compared with the existing ones through some numerical examples to exhibit its superiority. AMS Subject Classification: 41A25, 65K05, 65H05.

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34

Faye, Ibrahima. "SEMI-ABELIAN SURFACES AND INTEGRABLE SYSTEMS." Proceedings of the Edinburgh Mathematical Society 44, no. 2 (2001): 249–65. http://dx.doi.org/10.1017/s0013091599000565.

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AbstractWe study some weight-homogeneous systems which are not algebraically completely integrable (ACI) in the sense of Adler and van Moerebeke, but whose invariant level surface completes into a semi-abelian variety by adding a set of points (thus ACI in the sense of Mumford).AMS 2000 Mathematics subject classification: Primary 37J35. Secondary 14H70; 37N05; 70E40

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35

Navarro, Gabriel. "HALL SUBGROUPS AND STABLE BRAUER CHARACTERS." Proceedings of the Edinburgh Mathematical Society 44, no. 1 (2001): 111–15. http://dx.doi.org/10.1017/s001309159900108x.

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AbstractLet $H$ be a Hall $\pi$-subgroup of a finite $\pi$-separable group $G$, and let $\alpha$ be an irreducible Brauer character of $H$. If $\alpha(x)=\alpha(y)$ whenever $x,y \in H$ are $p$-regular and $G$-conjugate, then $\alpha$ extends to a Brauer character of $G$.AMS 2000 Mathematics subject classification: Primary 20C15; 20C20

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36

Et.al, Manoj Kumar Sarma. "Homotopy Perturbation Analysis in an energy transit problem closed to a Stretching Surface." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 6 (2021): 289–95. http://dx.doi.org/10.17762/turcomat.v12i6.1368.

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Present study explored the influence of stretching constraint in addition with inclusion of energy.An analytical solution for the system of non-linear equations of motion is worked out by adopting HomotopyPerturbation method (HPM). Physical and graphical reflections various parameters are demonstrated in thepresent problem. Utility of this model has been perceived in diverse industrial and chemical processes.2010 AMS subject classification: 76W05

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37

Chacko, Manoj, and Shiny Mathew. "Inference on P(Y." Calcutta Statistical Association Bulletin 72, no. 2 (2020): 89–110. http://dx.doi.org/10.1177/0008068320974472.

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In this article, the estimation of [Formula: see text] is considered when [Formula: see text] and [Formula: see text] are two independent generalized Pareto distributions. The maximum likelihood estimators and Bayes estimators of [Formula: see text] are obtained based on record values. The Asymptotic distributions are also obtained together with the corresponding confidence interval of [Formula: see text]. AMS 2000 subject classification: 90B25

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38

Marzec, Leszek, and Pawel Marzec. "A Class of Tests for the Dispersive-Equivalence of two Probability Distributions." Calcutta Statistical Association Bulletin 42, no. 1-2 (1992): 129–34. http://dx.doi.org/10.1177/0008068319920112.

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Based on independent random samples from two absolutely continuous distributions, asymptotically distribution-free and consistent tests are proposed for testing that two distributions are identical except for an unknown location parameter against the alternative that one is dispersive ordered with respect to the other. These tests are based on weighted combinations of ratios of spacings. AMS 1980 Subject Classification: Primary 62Gl0, secondary 62G30.

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39

Cal, Guang‐Hui. "Complete Convergences of Rowwise NA Sequences of Random Variables." Calcutta Statistical Association Bulletin 59, no. 3-4 (2007): 139–49. http://dx.doi.org/10.1177/0008068320070302.

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Abstract: In this paper, we study the complete convergences and strong law of large numbers of rowwise NA sequences of random variables. The results obtained not only generalize the results of Hu (1998, Statist. Probab. Lett. 38, 27 – 31) and Sung (2005. Stntist. Probab. Lett. 71, 303 – 311 ) to NA sequence, but also improve them. AMS (2000) Subject Classification: 60F15.

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40

Kumar Vatti, V. B., Ramadevi Sri, and M. S. Kumar Mylapalli. "Second Derivative Free Eighteenth Order Convergent Method for Solving Non-Linear Equations." Oriental journal of computer science and technology 10, no. 04 (2017): 829–35. http://dx.doi.org/10.13005/ojcst/10.04.19.

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In this paper, the Eighteenth Order Convergent Method (EOCM) developed by Vatti et.al is considered and this method is further studied without the presence of second derivative. It is shown that this method has same efficiency index as that of EOCM. Several numerical examples are given to illustrate the efficiency and performance of the new method. AMS Subject Classification: 41A25, 65K05, 65H05.

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41

Lenagan, T. H., and L. Rigal. "THE MAXIMAL ORDER PROPERTY FOR QUANTUM DETERMINANTAL RINGS." Proceedings of the Edinburgh Mathematical Society 46, no. 3 (2003): 513–29. http://dx.doi.org/10.1017/s0013091502000809.

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AbstractWe develop a method of reducing the size of quantum minors in the algebra of quantum matrices $\mathcal{O}_q(M_n)$. We use the method to show that the quantum determinantal factor rings of $\mathcal{O}_q(M_n)c$ are maximal orders, for $q$ an element of $\mathbb{C}$ transcendental over $\mathbb{Q}$.AMS 2000 Mathematics subject classification: Primary 16P40; 16W35; 20G42

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42

Toft, J. "Positivity in twisted convolution algebra and Fourier modulation spaces." Bulletin: Classe des sciences mathematiques et natturalles 133, no. 31 (2006): 75–86. http://dx.doi.org/10.2298/bmat0631010t.

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Let Wp,q be the Fourier modulation space FMp,q and let *? be the twisted convolution. I? ? ? D' such that (a *? ?,?)? 0 for every ? ? C?0, and ? ? such that X(0) ? 0, then we prove that ?? ? Wp,? iff ? ? Wp,?. We also present some extensions to the case when weighted Fourier modulation spaces are used. AMS Mathematics Subject Classification (2000): 47B65, 35A21, 35S05.

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43

Bandyopadhyay, Uttam, and Gopaldeb Chattopadhyay. "Inverse Sampling for Bivariate Nonparametric Two-Sample Problems Against Restricted Alternatives." Calcutta Statistical Association Bulletin 42, no. 3-4 (1992): 221–36. http://dx.doi.org/10.1177/0008068319920306.

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The object of the present investigation is to provide suitable nonparametric tests for testing the identity of two bivariate distribution functions F1 and F2 against a class of restricted alternatives when there is sample of fixed size m from F1 and the observations from F2 are drawn sequentially. Various large sample results of the proposed tests are formulated and examined. AMS Subject Classification: Primary 62010, Secondary 62020.

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44

Odongo, L. O., and M. Samanta. "On Estimation of a Functional of a Probability Density Function." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 13–24. http://dx.doi.org/10.1177/0008068319930102.

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The problem of estimating the integral of the square of a probability density function is considered, It is shown that under some regularity conditions the kernel estimate of this functional is asymptotically normally distributed. An expression for the smoothing parameter that minimizes the mean square error of the estimate is derived. Results of simulation studies are included. AMS (1980) Subject Classification: Primary 62G07 Secondary 60FOS.

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45

Li, Teng. "Improved Tests for an Ordered Hypothesis in one Parameter Exponential Families." Calcutta Statistical Association Bulletin 43, no. 1-2 (1993): 57–64. http://dx.doi.org/10.1177/0008068319930105.

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We consider m independent one parameter exponential families with parameters (θ1, θ2, , θ m), and the alternative hypothesis [Formula: see text] where [Formula: see text] are specified. The null hypothesis Ho is the complement of H1. A class of tests more powerful than the likelihood ratio test (LRT) is derived. Applications to two special cases, Binomial and Poisson, are indicated. AMS 1980 Subject Classification: Primary 62F03

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46

Cossey, J., and S. E. Stonehewer. "THE EMBEDDING OF A CYCLIC PERMUTABLE SUBGROUP IN A FINITE GROUP. II." Proceedings of the Edinburgh Mathematical Society 47, no. 1 (2004): 101–9. http://dx.doi.org/10.1017/s0013091502001062.

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AbstractIn two previous papers we established the structure of the normal closure of a cyclic permutable subgroup $A$ of a finite group, first when $A$ has odd order and second when $A$ has even order, but with an extra hypothesis that was unnecessary in the odd case. Here we describe the most general situation without any restrictions on $A$.AMS 2000 Mathematics subject classification: Primary 20D35; 20D40

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47

Khan, Tanveer A., and Mark V. Lawson. "REES MATRIX COVERS FOR A CLASS OF SEMIGROUPS WITH LOCALLY COMMUTING IDEMPOTENTS." Proceedings of the Edinburgh Mathematical Society 44, no. 1 (2001): 173–86. http://dx.doi.org/10.1017/s0013091599001066.

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AbstractMcAlister proved that every regular locally inverse semigroup can be covered by a regular Rees matrix semigroup over an inverse semigroup by means of a homomorphism which is locally an isomorphism. We generalize this result to the class of semigroups with local units whose local submonoids have commuting idempotents and possessing what we term a ‘McAlister sandwich function’.AMS 2000 Mathematics subject classification: Primary 20M10. Secondary 20M17

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Kinoshita, Kenji, and Masato Wakayama. "EXPLICIT CAPELLI IDENTITIES FOR SKEW SYMMETRIC MATRICES." Proceedings of the Edinburgh Mathematical Society 45, no. 2 (2002): 449–65. http://dx.doi.org/10.1017/s0013091500001176.

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AbstractThe main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group $GL_N$. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of $GL_N$.AMS 2000 Mathematics subject classification: Primary 17B35. Secondary 17B10; 15A15; 20G05

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49

Khandeparkar, Pradnya P., and V. U. Dixit. "Tests for Scale Parameter of Asymmetric Log Laplace Distribution." Calcutta Statistical Association Bulletin 70, no. 2 (2018): 96–104. http://dx.doi.org/10.1177/0008068318803423.

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This article focuses on tests for scale parameter of asymmetric log Laplace distribution when shape parameters are known. The most powerful test is obtained for scale parameter and is compared with the corresponding uniformly most powerful (UMP) test based on distribution of order statistic. A simple ad hoc test based on sample median is also suggested and is compared with the other two tests. AMS 2000 subject classification: 62F03

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Mohan, N. R., and J. V. Janhavi. "A Note on a Criterion for a Block Design to be X-1Balanced." Calcutta Statistical Association Bulletin 43, no. 3-4 (1993): 239–44. http://dx.doi.org/10.1177/0008068319930308.

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An easytoverify criterion is proposed for a not necessarily connected block design to be X-1balanced and its connection to the existing criteria is brought out. An example of a disconnected PBIBD is given which is X-1balanced for a family of matrices X that includes a constant multiple' of identity matrix so that the PBIBD happens to be variance balanced. AMS (1990) Subject Classification: 62 K 10

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