• Management & Information Systems Review
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• v.39 no.3
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• pp.37-51
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• 2020

Customer participation in the service encounter plays an important role in the interaction process. In addition, customer participation is affecting the development of relationships between customer-service provider. Previous researches revealed the role of customer participation through a fragmented and cross-sectional approach, however, given the dynamics of the relationship, it is necessary to identify the role of customer participation from a longitudinal perspective. In addition, it is necessary to determine the cause of the overlap between the antecedent variables and consequent variables. This study aims to identify the relational role of customer participation by clarifying how customer participation affects relationship development from a longitudinal perspective, focusing on trust and commitment variables which are keys to relationship marketing. The related role of customer participation is analyzed through a regression analysis through long-term data. The results of the study showed that commitment(t1) directly had a positive effect on customer participation. However, trust(t1) has been shown to have a direct positive effect on the sub-dimensions of customer participation, such as personal interaction and responsible behavior. Customer participation(t2) affected by this trust(t1) and commitment(t1) again turned out to have a positive effect on trust(t3) and commitment(t3). In conclusion, although customer participation is affected by the relational variables, it can be seen that customer participation is a major factor that can improve the relational variables again through the interaction process. For this reason, a service firm can seek to develop relationships with customers by drawing and utilizing their needs to exchange information and to interact in the service encounter.

• Communications for Statistical Applications and Methods
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• v.12 no.1
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• pp.117-123
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• 2005

A functional central limit theorem is obtained for a stationary linear process of the form $X_{t}= \sum\limits_{j=0}^\infty{a_{j}x_{t-j}}$, where {x_t} is a strictly stationary sequence of negatively associated random variables with suitable conditions and {a_j} is a sequence of real numbers with $\sum\limits_{j=0}^\infty|a_{j}|<\infty$.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.3
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• pp.319-326
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• 2020

In this paper, we establish a general solution of the following functional equation $$mf\({\sum\limits_{k=1}^{n}}x_k\)+{\sum\limits_{t=1}^{m}}f\({\sum\limits_{k=1}^{n-i_t}}x_k-{\sum\limits_{k=n-i_t+1}^{n}}x_k\)=2{\sum\limits_{t=1}^{m}}\(f\({\sum\limits_{k=1}^{n-i_t}}x_k\)+f\({\sum\limits_{k=n-i_t+1}^{n}}x_k\)\)$$ where m, n, t, i_t ∈ ℕ such that 1 ≤ t ≤ m < n. Also, we study Hyers-Ulam-Rassias stability for the generalized quadratic functional equation with n-variables and m-combinations form in quasi-𝛽-normed spaces and then we investigate its application.

• Journal of the Korean Statistical Society
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• v.31 no.4
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• pp.483-490
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• 2002

A weak convergence is obtained for a linear process of the form (equation omitted) where {$\varepsilon$$_{t}$ } is a strictly stationary sequence of associated random variables with E$\varepsilon$$_{t}$ = 0 and E$\varepsilon$$^{^2}$$_{t}$ < $\infty$ and {a $_{j}$ } is a sequence of real numbers with (equation omitted). We also apply this idea to the case of linearly positive quadrant dependent sequence.

• Korean Journal of Mathematics
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• v.30 no.4
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• pp.593-601
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• 2022

Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τ_m,n = {(s_i, t_j)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s₀ < s₁ < . . . < s_m = S and 0 = t₀ < t₁ < . . . < t_n = T, define a random vector X_τ : C(Q) → ℝ^mn by X_τ (x) = (x(s₁, t₁), . . . , x(s_m, t_n)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function X_τ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

• Journal of Korean society of Dental Hygiene
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• v.13 no.1
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• pp.69-81
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• 2013

Objectives : The purpose of this study was to examine whether the subjective oral health awareness and oral health behavior of Korean adults would affect their oral health indexes. It's meant to utilize existing data of epidemiological and alternative indexes in an effort to have a comprehensive and understanding of the relationship between the subjective oral health awareness and oral health behavior of Korean adults. And the following findings were obtained Methods : The subjects in this study were 7,285 adults who were selected from the third-year(2009) raw data of the fourth national health & nutrition survey. Results : As for the relationship between oral health awareness and oral health indexes, there were statistically significant differences in DMFT index, FS-T index, T-health index and CPI index according to self-rated health status, self-rated oral health state, necessity of dental treatment and oral health concern. Concerning the relationship between oral health behavior and the oral health indexes, whether they got a dental checkup over the past year, daily toothbrushing frequency, use or nonuse of oral health supplies and mastication problems made statistically significant differences to DMFT index, FS-T index, T-health index and CPI index. The variables that had a significant impact on oral health were selected from among the variables of oral health awareness and oral health behavior that affected oral health, and the variables were selected as independent variables. And then the oral health indexes were selected as dependent variables, and a multiple regression analysis was carried out by using the selected independent and dependent variables. As a results, it's found that the variables made a 22.4% prediction of DMFT index; 51.3% for FS-T index; 52.0% for T-health index; 47.4% for CPI index. Conclusions : The above-mentioned findings illustrated that the relationship between the subjective oral health awareness and oral health behavior of the Korean adults exercised an influence on their oral health indexes. Accurate and effective oral health plans should be mapped out by grasping the oral health status of adults from diverse angles to facilitate the maintenance and promotion of their oral health status.

• Journal of applied mathematics & informatics
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• v.33 no.5_6
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• pp.607-625
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• 2015

Recently, Wang et al. [Computers and Mathematics with Ap-plications 57 (2009) 1232-1248.] and Wang and Watada [Information Sci-ences 179 (2009) 4057-4069.] studied the renewal process and renewal reward process with fuzzy random inter-arrival times and rewards under the T-independence associated with any continuous Archimedean t-norm. But, their main results do not cover the classical theory of the random elementary renewal theorem and random renewal reward theorem when fuzzy random variables degenerate to random variables, and some given assumptions relate to the membership function of the fuzzy variable and the Archimedean t-norm of the results are restrictive. This paper improves the results of Wang and Watada and Wang et al. from a mathematical per-spective. We release some assumptions of the results of Wang and Watada and Wang et al. and completely generalize the classical stochastic renewal theorem and renewal rewards theorem.

• Journal of the Korean Statistical Society
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• v.21 no.2
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• pp.167-177
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• 1992

In this paper, we investigate the limiting distribution of $M_n = max (X_1, X-2, \cdots, X_n)$ in the infinite moving average process ${X_t = \sum c_i Z_{t-i}}$ generated from i.i.d. negative binomial variables $Z_i$'s. While no limit result is possible, nonetheless asymptotic bounds are derived. We also present the tail behavior of $X_t$, i.e., weighted sum of i.i.d. random variables. This continues a study made by Rootzen (1986) for discrete innovation sequences.

• Journal of the Korean Statistical Society
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• v.22 no.1
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• pp.13-25
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• 1993

The purpose of this paper is to investigate the properties of order statistics under various stochastic relations. We study the stochastic comparison of order statistics in a single sample. And we consider two sample case too. For example, F(t) > G9t) for t > 0 when X and Y are random variables symmetric about 0, with c.d.f.s F and G. Two examples are provided.

• Journal of health informatics and statistics
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• v.43 no.4
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• pp.336-343
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• 2018

Objectives: The purpose of this study was to test and validate a model to predict antenatal depression. Methods: Data were collected from a self-administered questionnaire of 251 pregnant women in D metropolitan city. Exogenous variables were self-esteem, social support, and high risk pregnancy. Endogenous variables consisted of pregnancy stress, pregnancy coping, and antenatal depression. Data were analyzed by SPSS 23.0 and AMOS 21.0. Results: Model fit indices for the hypotheoretical model fitted to the recommended levels. Out of 12 paths, 6 were statistically significant. Variables accounted for 72.6% of antenatal depression. Predictors of antenatal depression were pregnancy stress (t = 7.64), self-esteem (t = -2.03), and social support (t = -2.06). Conclusions: Results indicate that an intervention program which increases self-esteem would be useful for pregnant women to decrease antenatal depression level. Antenatal program are needed to be applied to spouse and family members as well. To decrease pregnancy stress in pregnant women contributes to antenatal depression.