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GENERAL LAWS OF PRECISE ASYMPTOTICS FOR SUMS OF RANDOM VARIABLES

  • Meng, Yan-Jiao
    • Journal of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.795-804
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    • 2012
  • In this paper, we obtain two general laws of precise asymptotics for sums of i.i.d random variables, which contain general weighted functions and boundary functions and also clearly show the relationship between the weighted functions and the boundary functions. As corollaries, we obtain Theorem 2 of Gut and Spataru [A. Gut and A. Sp$\check{a}$taru, Precise asymptotics in the law of the iterated logarithm, Ann. Probab. 28 (2000), no. 4, 1870-1883] and Theorem 3 of Gut and Sp$\check{a}$taru [A. Gut and A. Sp$\check{a}$taru, Precise asymptotics in the Baum-Katz and Davids laws of large numbers, J. Math. Anal. Appl. 248 (2000), 233-246].

ON THE PRUSS EXTENSION OF THE HSU-ROBBINS-ERD S THEOREM

  • Sung, Soo-Hak
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.305-314
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    • 1999
  • The Hsu-Robbins-erd s theorem states that if {$X_m,n\geq1$} is a sequence of independent and identically distributed random variables, then ${EX_1}^2<\infty$ and $EX_1$=0 if and only if ${\sum_{n=1}}^\infty\;P($\mid${\sum_{k=1}}^nX_k$\mid$\geqn\in)<\infty$ for every $\in$ > 0. Under some auxiliary conditions, Sp taru (1994) extended this to the case where the $X_n$ are independent, but their distributions come from a finite set. Pruss (1996) proved Sp taru's result under weaker conditions, The purpose of this paper is to improve Pruss conditions.

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A SUPPLEMENT TO PRECISE ASYMPTOTICS IN THE LAW OF THE ITERATED LOGARITHM FOR SELF-NORMALIZED SUMS

  • Hwang, Kyo-Shin
    • Journal of the Korean Mathematical Society
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    • v.45 no.6
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    • pp.1601-1611
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    • 2008
  • Let X, $X_1$, $X_2$, ... be i.i.d. random variables with zero means, variance one, and set $S_n\;=\;{\sum}^n_{i=1}\;X_i$, $n\;{\geq}\;1$. Gut and $Sp{\check{a}}taru$ [3] established the precise asymptotics in the law of the iterated logarithm and Li, Nguyen and Rosalsky [7] generalized their result under minimal conditions. If P($|S_n|\;{\geq}\;{\varepsilon}{\sqrt{2n\;{\log}\;{\log}\;n}}$) is replaced by E{$|S_n|/{\sqrt{n}}-{\varepsilon}{\sqrt{2\;{\log}\;{\log}\;n}$}+ in their results, the new one is called the moment version of precise asymptotics in the law of the iterated logarithm. We establish such a result for self-normalized sums, when X belongs to the domain of attraction of the normal law.

Meiotic Competence of Caprine Oocytes During IVM on Granulosa Cell Monolayers Developed from Small and Large Follicles in Comparison to the Granulosa Cell Coculture

  • Sharma, G. Taru;Teotia, Alok;Majumdar, A.C.
    • Asian-Australasian Journal of Animal Sciences
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    • v.14 no.6
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    • pp.777-784
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    • 2001
  • Evaluation of the granulosa cell (GC) monolayers developed from small (<5 mm) and large (>5 mm) follicles on the meiotic competence of caprine oocytes during in vitro maturation was done in this study in comparison to the granulosa cell coculture. Ovaries were collected from the local abattoir and follicular contents were aspirated for the monolayer culture. For IVM the oocytes were collected by puncturing the nonatretic follicles (>4 mm). Results revealed that at the same seeding rate, small follicular granulosa cell monolayer achieved confluence 24-48 h earlier than large follicular granulosa cell monolayer. GC monolayers significantly p (<0.05) improved the rate of meiotic resumption and nuclear maturation (84.76% vs 74.74%) after 27 h of culture in comparison to GC coculture. Statistically there was no significant difference in the maturation rate between the caprine oocytes matured over small or large follicular GC monolayers. It is concluded from the present study that GC monolayers support better nuclear and cytoplasmic maturation of growing caprine oocytes which is evident by better maturation rate over GC monolayer as compared to the oocytes matured with GC coculture. Granulosa cells from small and large follicles can be used for IVM with more or less in the same efficiency after conditioning them with maturation media in 18-24 h before the onset of culture.

Investigating the Effect of Service Quality on Bank Customers' Satisfaction in Bangladesh

  • RAHAMAN, Md. Atikur;ALI, Md. Julfikar;KEJING, Zhang;TARU, Rupali Dilip;MAMOON, Zahidur Rahman
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.10
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    • pp.823-829
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    • 2020
  • In this competitive era, it has become a prerequisite for the financial firms providing banking services to understand and meet the customers' needs and demands to remain competitive in today's market environment. Without satisfying the customers, banking business cannot stand alone. To satisfy customers, it is often recommended to provide better quality banking services to the bank customers. Providing quality banking services has become a prime strategic tool for the banking sector nowadays. Therefore, the study investigates the effect of various dimensions of service quality of banking service on customer satisfaction in a developing country, Bangladesh. A total of 212 walking Bangladeshi banking customers participated in this research. A structured questionnaire was developed based on past research. SPSS is utilized for analysis and Likert scale was used in this study. Internal consistency of all items was found correct and a total of seven hypotheses were proposed. For testing, a 5% significance level is considered for acceptance of hypothesis. The findings show that, except employee competency, all other variables such as reliability, assurance, tangibles, responsiveness, empathy, and access to service have positive influence on customer satisfaction. The study provides policy implications for the management boards of the banking sectors.

Determinants of Accepting Internet Banking System: A Case Study in Bangladesh

  • RAHAMAN, Md. Atikur;LUNA, Kaniz Fatema;KEJING, Zhang;PING, Zhao Lin;TARU, Rupali Dilip
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.5
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    • pp.931-937
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    • 2021
  • Since the service organizations have been moving towards digitization across the world, there is a wide range of technological innovations that have been integrated within the service firms, especially in banking services. As such, Internet banking is one of the innovative services that have reshaped the traditional banking activities, particularly in Bangladesh. In line with this, the research is designed to examine the Internet banking adoption based on five variables: perceived usefulness, perceived ease-of-use, trust, social influence, and perceived enjoyment, and the study also explores differences among respondents on these study variables based on gender and academic disciplines. The study has selected university students as study samples as they are the prospective customers to use Internet banking. Sample size in the research is 300, and a well-designed questionnaire was distributed to collect data. SPSS is used for statistical analysis. The research used ANOVA test to capture any difference on variables based on gender and academic disciplines. The findings indicate that male students in business have more intention to adopt Internet banking and preference for ease-of-use than female students, and business students will be more favorably inclined to adopt Internet banking service than students in other academic disciplines.

Gender Differences in Influence of Socio-demographic Characteristics on Mode Choice in India

  • SAIGAL, Taru;VAISH, Arun Kr.;RAO, N.V.M.
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.1
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    • pp.531-542
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    • 2021
  • The study aims to investigate differences between men and women in influence of various socio-demographic factors on choice of mode of transport. For this purpose, a binary logit model of choice probabilities is implemented on survey data of a developing country city. Results indicate women's choice of travel mode to be more environment-friendly than that of men. Well-educated, working and middle-aged individuals appear to be the most likely to choosing more-polluting modes of transport for frequent travelling purposes. Individuals in the sample who are the least socioeconomically well off are found the most likely to be promising for the environment. The findings of this study suggest the future transportation policies toward development of existing infrastructure of greener modes of transportation in the city such as, public transportation services and pedestrian lanes, so as to manage the rising issues of degrading environmental quality. The study highlights how the consideration and inclusion of socio-demographic factors is crucial for policy recommendation regarding curtailing the environmental damages contributed by transportation sector. Because mobility crucially affects all other indicators of empowerment, and women are the ones using green modes extensively, the city's transportation system should be so developed which gives their safety and security due importance.

Influence of Nitric Oxide on Steroid Synthesis, Growth and Apoptosis of Buffalo (Bubalus bubalis) Granulosa Cells In vitro

  • Dubey, Pawan K.;Tripathi, Vrajesh;Singh, Ram Pratap;Sastry, K.V.H.;Sharma, G.Taru
    • Asian-Australasian Journal of Animal Sciences
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    • v.24 no.9
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    • pp.1204-1210
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    • 2011
  • Objective of this study was to examine the effect of sodium nitroprusside (SNP), a nitric oxide (NO) donor on steroid synthesis, growth and apoptosis of buffalo granulosa cells (GCs) in vitro. Follicular fluid of antral follicles (3-5 mm diameter) was aspirated and GCs were cultured in 0 (control), $10^{-3}$, $10^{-5}$, $10^{-7}$, $10^{-9}\;M$ of SNP for 48 h. To evaluate whether this effect was reversible, GCs were cultured in presence of $10^{-5}\;M$ SNP+1.0 mM $N^{\omega}$-nitro-L-arginine methyl ester (L-NAME) a NO synthase (NOS) inhibitor or hemoglobin (Hb, $1.0{\mu}g$) as NO scavenger. Nitrate/nitrite concentration was evaluated by Griess method, progesterone and estradiol concentrations by RIA and apoptosis by TUNEL assay. SNP ($10^{-3}$, $10^{-5}$, $10^{-7}\;M$) significantly (p<0.05) inhibited estradiol and progesterone synthesis, growth, disorganized GCs aggregates and induced apoptosis in a dose dependent manner. However, $10^{-9}\;M$ SNP induced the progesterone synthesis and stimulated GCs to develop into a uniform monolayer. Combination of SNP $10^{-5}$ M+L-NAME strengthened the inhibitory effect while, SNP+Hb together reversed these inhibitory effects. In conclusion, SNP at greater concentrations ($10^{-3}$, $10^{-5}$ and $10^{-7}\;M$) has a cytotoxic effect and it may lead to cell death whereas, at a lower concentration ($10^{-9}\;M$) induced progesterone synthesis and growth of GCs. These findings have important implications that NOS derived NO are involved at physiological level during growth and development of buffalo GCs which regulates the steroidogenesis, growth and apoptosis.

Ovarian Response and Profile of Plasma Sex Steroids in Goats Against Combined Administration of FSH and LH Isolated from the Pituitaries of Buffaloes

  • Taru Sharma, G.;Pande, J.K.;Sanwal, P.C.;Varshney, V.P.
    • Asian-Australasian Journal of Animal Sciences
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    • v.10 no.5
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    • pp.514-518
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    • 1997
  • This study was designed to record the ovarian response towards a combined administration of heterologous buffalo FSH (buFSH) and LH (buLH) in goats. The impact of such a treatment on ovarian structures and on the plasma profile of the ovarian sex steroids (estradiol $17-{\beta}$ and progesterone) was studied. The buFSH and buLH were isolated from the buffalo pituitaries involving a procedure of ethanolic extraction, acetone precipitation followed by metaphosphoric acid - ammonium sulphate fractionation. Both gonadotrophin samples prepared were found biologically active and potent. There was an increase in the total number of follicles in the treated group ($12.66{\pm}1.24$) vis-a-vis the control group ($8.50{\pm}2.06$). However, the percentage ($51.48{\pm}6.37$) of large follicles were found reduced ($23.74{\pm}5.93$) following the treatment. Again the number of corpora lutea were observed significantly higher ($2.33{\pm}0.47C.L.$) in the treated group than (1 C. L.) in the control group. The peak plasma estradiol- $17{\beta}$ levels achieved, were much higher ($17.16{\pm}9.52pg/ml$) in the treated group, than the peak ($7.22{\pm}1.67pg/ml$) achieved in the control group. Similar trend was observed with respect to the progesterone levels (higher in the treated group). This study thus indicated that, a combined administration of heterologous buffalo FSH and LH to goats speeded up development of larger follicles nearing the ovulation stage. This population of the follicles subsequently got reduced and lead to the formation of the increased number of the corpora lutea observed in this study.

Shallow Junction Device Formation and the Design of Boron Diffusion Simulator (박막 소자 개발과 보론 확산 시뮬레이터 설계)

  • Han, Myoung Seok;Park, Sung Jong;Kim, Jae Young
    • 대한공업교육학회지
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    • v.33 no.1
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    • pp.249-264
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    • 2008
  • In this dissertation, shallow $p^+-n$ junctions were formed by ion implantation and dual-step annealing processes and a new simulator is designed to model boron diffusion in silicon. This simulator predicts the boron distribution after ion implantation and annealing. The dopant implantation was performed into the crystalline substrates using $BF_2$ ions. The annealing was performed with a RTA(Rapid Thermal Annealing) and a FA(Furnace Annealing) process. The model which is used in this simulator takes into account nonequilibrium diffusion, reactions of point defects, and defect-dopant pairs considering their charge states, and the dopant inactivation by introducing a boron clustering reaction. FA+RTA annealing sequence exhibited better junction characteristics than RTA+FA thermal cycle from the viewpoint of sheet resistance and the simulator reproduced experimental data successfully. Therefore, proposed diffusion simulator and FA+RTA annealing method was able to applied to shallow junction formation for thermal budget. process.