• Title/Summary/Keyword: rate of statistical convergence

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Multi-Channel MAC Protocol Using Statistical Channel Utilization for Cognitive Networks

  • Xiang, Gao;Zhu, Wen-Min;Park, Hyung-Kun
    • Journal of information and communication convergence engineering
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    • v.8 no.3
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    • pp.273-276
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    • 2010
  • Opportunistic spectrum access (OSA) allows unlicensed users to share licensed spectrum in space and time with no or little interference to primary users, with bring new research challenges in MAC design. We propose a cognitive MAC protocol using statistical channel information and selecting appropriate idle channel for transmission. The protocol based on the CSMA/CA, exploits statistics of spectrum usage for decision making on channel access. Idle channel availability, spectrum hole sufficiency and available channel condition will be included in algorithm statistical information. The model include the control channel and data channel, the transmitter negotiates with receiver on transmission parameters through control channel, statistical decision results (successful rate of transmission) from exchanged transmission parameters of control channel should pass the threshold and decide the data transmission with spectrum hole on data channel. The proposed protocol's simulation will show that proposed protocol does improve the throughput performance via traditional opportunistic spectrum access MAC protocol.

Equal Bit Rate Control for Low Bit-rate Coder based on Frame Statistics (저 전송률 부호화기를 위한 프레임 특성에 근간한 균등 비트 할당 기법)

  • Seo Dong-Wan;Choe Yoon-Sik
    • Journal of the Institute of Convergence Signal Processing
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    • v.6 no.4
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    • pp.176-181
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    • 2005
  • This paper presents an equal bit rate control algorithm utilizing the statistical change between the previous frame and the current frame. The previous studies on the model-based rate control have focused on the models of bit rate and distortion in types of coders, in terms of the quantization parameter. The proposed algorithm improves the typical model-based rate control by updating a model parameter instead of modeling a better model of the rate and distortion. The proposed algorithm updates this model parameter by recognizing the change in statistics between the previous frame and the current frame. We implement the proposed algorithm in MPEG-4 coders and verify its performance while comparing it to the TMN8's approach (up to 0.6dB of improvement).

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Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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FREQUENCY HISTOGRAM MODEL FOR LINE TRANSECT DATA WITH AND WITHOUT THE SHOULDER CONDITION

  • EIDOUS OMAR
    • Journal of the Korean Statistical Society
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    • v.34 no.1
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    • pp.49-60
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    • 2005
  • In this paper we introduce a nonparametric method for estimating the probability density function of detection distances in line transect sampling. The estimator is obtained using a frequency histogram density estimation method. The asymptotic properties of the proposed estimator are derived and compared with those of the kernel estimator under the assumption that the data collected satisfy the shoulder condition. We found that the asymptotic mean square error (AMSE) of the two estimators have about the same convergence rate. The formula for the optimal histogram bin width is derived which minimizes AMSE. Moreover, the performances of the corresponding k-nearest-neighbor estimators are studied through simulation techniques. In the absence of our knowledge whether the shoulder condition is valid or not a new semi-parametric model is suggested to fit the line transect data. The performances of the proposed two estimators are studied and compared with some existing nonparametric and semiparametric estimators using simulation techniques. The results demonstrate the superiority of the new estimators in most cases considered.

Numerical Iteration for Stationary Probabilities of Markov Chains

  • Na, Seongryong
    • Communications for Statistical Applications and Methods
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    • v.21 no.6
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    • pp.513-520
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    • 2014
  • We study numerical methods to obtain the stationary probabilities of continuous-time Markov chains whose embedded chains are periodic. The power method is applied to the balance equations of the periodic embedded Markov chains. The power method can have the convergence speed of exponential rate that is ambiguous in its application to original continuous-time Markov chains since the embedded chains are discrete-time processes. An illustrative example is presented to investigate the numerical iteration of this paper. A numerical study shows that a rapid and stable solution for stationary probabilities can be achieved regardless of periodicity and initial conditions.

A Local Linear Kernel Estimator for Sparse Multinomial Data

  • Baek, Jangsun
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.515-529
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    • 1998
  • Burman (1987) and Hall and Titterington (1987) studied kernel smoothing for sparse multinomial data in detail. Both of their estimators for cell probabilities are sparse asymptotic consistent under some restrictive conditions on the true cell probabilities. Dong and Simonoff (1994) adopted boundary kernels to relieve the restrictive conditions. We propose a local linear kernel estimator which is popular in nonparametric regression to estimate cell probabilities. No boundary adjustment is necessary for this estimator since it adapts automatically to estimation at the boundaries. It is shown that our estimator attains the optimal rate of convergence in mean sum of squared error under sparseness. Some simulation results and a real data application are presented to see the performance of the estimator.

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A Fast EM Algorithm for Gaussian Mixtures

  • Jung, Hye-Kyung;Seo, Byung-Tae
    • Communications for Statistical Applications and Methods
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    • v.19 no.1
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    • pp.157-168
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    • 2012
  • The EM algorithm is the most important tool to obtain the maximum likelihood estimator in finite mixture models due to its stability and simplicity. However, its convergence rate is often slow because the conventional EM algorithm is based on a large missing data space. Several techniques have been proposed in the literature to reduce the missing data space. In this paper, we review existing methods and propose a new EM algorithm for Gaussian mixtures, which reduces the missing data space while preserving the stability of the conventional EM algorithm. The performance of the proposed method is evaluated with other existing methods via simulation studies.

Assessing Infinite Failure Software Reliability Model Using SPC (Statistical Process Control) (통계적 공정관리(SPC)를 이용한 무한고장 소프트웨어 신뢰성 모형에 대한 접근방법 연구)

  • Kim, Hee Cheul;Shin, Hyun Cheul
    • Convergence Security Journal
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    • v.12 no.6
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    • pp.85-92
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    • 2012
  • There are many software reliability models that are based on the times of occurrences of errors in the debugging of software. It is shown that it is possible to do asymptotic likelihood inference for software reliability models based on infinite failure model and non-homogeneous Poisson Processes (NHPP). For someone making a decision about when to market software, the conditional failure rate is an important variables. The finite failure model are used in a wide variety of practical situations. Their use in characterization problems, detection of outliers, linear estimation, study of system reliability, life-testing, survival analysis, data compression and many other fields can be seen from the many study. Statistical Process Control (SPC) can monitor the forecasting of software failure and there by contribute significantly to the improvement of software reliability. Control charts are widely used for software process control in the software industry. In this paper, we proposed a control mechanism based on NHPP using mean value function of log Poission, log-linear and Parto distribution.

A statistical analysis study on the convergent common factors influencing saliva of physiologic malodor patients (생리적 구취환자의 타액요인에 영향을 미치는 융복합적 공통요인에 관한 통계적 분석 연구)

  • Hong, Hea-Kyung;Choi, Eun-Mi;Lee, Soo-Ryeon;Kim, Young-soo
    • Journal of the Korea Convergence Society
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    • v.9 no.4
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    • pp.99-110
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    • 2018
  • The data were collected from 171 physiologic malodor patients diagnosed in KUMC halitosis control clinic between 2008 and 2016. We selected 11 independent variables and 3 dependent variables, then planned to extract some convergent common factors affecting their physiologic malodor. We thought that those extracted convergent common factors could be utilized when preparing the contents of oral malodor preventive program. We used multiple regression analysis and path analysis method, for the analysis of influence of 11 independent factors to three salivary dependent factors(resting salivary flow rate, salivary buffering capacity, salivary precipitation rate). We have presented the physiologic malodor patients' chracteristics by descriptive statistical analysis, and also statistically analysed convergent common factors influencing directly or indirectly to their three dependent factors. We could reason that the sex, the character, the intake habit of breakfast, and the regular food intake habit could affect resting salivary flow rate, salivary buffering capacity and salivary precipitation rate.

The Effects of Exercise Commitment of University Water Sport Participants on Re-participation Intentions

  • HUR, Seung Eun;OH, Chae Yun;JIN, Su Yeon;MOON, Hwang Woon
    • Journal of Sport and Applied Science
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    • v.4 no.4
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    • pp.19-25
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    • 2020
  • Purpose: Today, participation rate of water sport has been dramatically increased due to expansion of leisure time and concerns. The purpose of this study is to identify the effect of the exercise commitment of university water sport participants on re-participation intentions and to induce insights for expanding water sport industry. Research design, data, and methodology: Subjects were collected from undergraduate students who participated water sports class in University. The sample was extracted by purposive sampling of nonprobability sampling method. To achieve the purpose of the research, survey was processed to 281 subjects. SPSS Version 21.0 was used to analyze the data. All statistical significance level was set to p<.05. In terms of measurement, items of demographic information, exercise commitment, and re-participation intentions were utilized. Results: The results are as follows. Frist, in the difference in exercise commitment and re-participation intention according to the grade, only the re-participation intention was significant. The effects of the exercise commitment of university water sport participants on re participation intentions were statistically significant. Conclusions: The findings indicate the function of sport club participants' commitment towards water sports in promoting their intentions to re-participation. The study suggested insights and future directions for expanding water sport markets and related industry.