• Journal of Radiation Protection and Research
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• v.37 no.4
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• pp.167-172
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• 2012

Jeju Island is a significant area as a reference site of in situ gamma spectrometry because there are a number of open spaces which includes $^{137}Cs$ above a certain level. In this paper, the pasture within the Hallasan National Park was selected as one of the open spaces of Jeju Island. The homogeneity of $^{137}Cs$ at the site was assessed by analysis of variance on count and by radioactivity concentration obtained through in situ gamma spectrometry. For this purpose, the count of a total of 79 points at 3 sites were measured with less than count uncertainty of 5% for 2000 seconds. In the results of the analysis of variance, the 2 sites were homogeneous, and the remaining 1 site can be specified to be homogeneous through the adjustment of measuring range. The distribution of radioactivity concentration calculated by in situ gamma spectrometry were $53.7{\sim}93.2Bq\;kg^{-1}$, $30.5{\sim}61.0Bq\;kg^{-1}$ and $48.8{\sim}102Bq\;kg^{-1}$ at each site.

• Journal of Veterinary Clinics
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• v.7 no.2
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• pp.471-487
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• 1990

Present experiment was performed in order to establish the optimum conditions for quantitation of ${\gamma}$-GTP and AGS activities in rat urine and investigate the applicability of the these enzymes in experimental assessment of nephrotoxicity in rats. The results obtained were as follows. 1. The optimal pH of Tris-BCI buffer containing glycylglycine for determination of urinary ${\gamma}$-GTP activity was 7.6(37$^{\circ}C$). 2. The Michaelis constant of urinary ${\gamma}$-GTP ranged from 1.1 to 1.2 mmol/$\ell$. 3. The optimal pH of citrate buffer for determination of urinary AGS activity was 3.6(37$^{\circ}C$). 4. The Michaelis constant of urinary AGS ranged from 0.8 to 0.9mmo1/$\ell$. 5. Coefficient of variance for within-run imprecision of urinary ${\gamma}$-GTP ranged from 3.8 to 6.4％ and that of urinary AGS ranged from 2.5 to 4.1％. 6. There was no significant difference between gel-filtered samples and crude samples in the mean activity of urinary ${\gamma}$-GTP and the intra-individual differences by gel-filtration were either increased or decreased. Mean values of ${\gamma}$ -GTP activities in gel-filtered samples and crude samples were 1570 and 1590 U/$\ell$, repectively. 7. The mean activity of urinary AGS increased significantly after gel-filtration and all the individual urines revealed higher activities after gel-filtration. 8. ${\gamma}$-GTP and AGS activities were linear to 135 and 7U/$\ell$, respectively. 9. Urinary ${\gamma}$-GTP and AGS excretion before administration of potassium dichromate were 22.1 ${\pm}$ 11.2 and 0.5${\pm}$0.2 U/24hrsㆍkg body weight respectively and increased significantly to 102.3${\pm}$44.5 and 5.8${\pm}$3.30/24hrsㆍkg body weight respectively within 24 hours after administration. 10. BUN increased continuously from 24 hours following exposure to potassium dichromate in all 10 rats. From these findings it is concluded that the urinary ${\gamma}$-GTP and AGS excretions are early and sensitive indicators for nephrotoxicity assessment in rat.

• Proceedings of the KSPS conference
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• 2002.11a
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• pp.197-200
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• 2002

In this paper, we propose a phoneme duration modeling in a speech recognition system based on disicion tree state tying. We assume that phone duration has a Gamma distribution. In a training mode, we model mean and variance of each state duration in context-independent phone model based on decision tree state tying. In a recognition mode, we get mean and variance of each context-dependent phone duration form state duration information obtaind during training mode. We make a comparative study of the proposed meth with conventinal methods. Our method results in good performance compared with conventional methods.

• Asian-Australasian Journal of Animal Sciences
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• v.15 no.12
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• pp.1686-1689
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• 2002

Genetic gains and inbreeding coefficients in a Holstein MOET breeding population were predicted under different conditions relating to the distribution of the number of transferable embryos collected per flush using Monte Carlo simulation. The numbers of transferable embryos collected per flush were determined using five distributions (distributions 1, 3, 5, 7 and 9) with different aspects and similar means. Distributions 1, 3, 5, 7 and 9 were assumed to have gamma distribution's parameters ($\alpha$ and $\beta$) of (1 and 4.4), (3 and 1.47), (5 and 0.88), (7 and 0.63) and (9 and 0.49), respectively. Inbreeding rates were statistically significantly different among distributions but genetic gains were not. Relationships between inbreeding rates and variances of family size could be were clearly distinguished. The highest inbreeding coefficients were predicted in distribution 1 with the largest variance of family size, while distributions 5, 7 and 9 with smaller variance of family size had lower inbreeding coefficients.

• Journal of the Korean Society for Precision Engineering
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• v.1 no.1
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• pp.34-49
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• 1984

The stability of machine tool systems is analyzed by considering the machining process as a stochastic process without decomposing into machine tool structural dynamics and cutting processes. In doing so the time series analysis technique developed by Wu and Pandit is applied systematically to the relative vibration between cutting tool and work- piece measured under actual working conditions. Various characteristic properties derived from the fitted ARMA(Autoregressive Moving Average) Models and those from raw data directly are investigated in relation with the system stability. Both damping ratio and absolute value of the characteristic roots of the AR part of the most significant dynamic mode are preferred as stability indicating factors to the other pro-perties such as theoretical variance .gamma. (o) or absolute power of the most dominant dynamic mode. Maximum aplitude during a certain interval and variance estimated from raw data are shown to be very sensi- tive to the type of the signal and the location of measurement point although they can be obtained rather easily. The relative vibration signal is also analyzed by FFT(Fast Fourier Transform) Analyzer for the purpose of comparison with the spectrums derived from the fitted ARMA models.

• Journal of the Korean Data and Information Science Society
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• v.1
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• pp.67-76
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• 1990

For a two-parameter Pareto distribution, the uniformly minimum variance unbiased estimateors(UMVUE) for the function of the two parameters are expressed in terms of confluent hypergeometric function. The variance of the UMVUE is also expressed in terms of hypergeometric function of several variables. UMVUE's for the ${\gamma}th$ moment about zero and several useful parametric functions, and their variances are obtained as special cases. The estimators of Baxter(1980) and Saksena and Johnson(1984) are special cases of our estimator.

• Communications for Statistical Applications and Methods
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• v.17 no.6
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• pp.845-852
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• 2010

The outcomes of counts commonly occur in the area of disease mapping for mortality rates or disease rates. A Poisson distribution is usually assumed as a model of disease rates in conjunction with a gamma prior. The small area typically refers to a small geographical area or demographic group for which very little information is available from the sample surveys. Under this situation the model-based estimation is very popular, in which the auxiliary variables from various administrative sources are used. The empirical Bayes estimator under Poissongamma model has been considered with its accuracy measures. An accuracy measure using a bootstrap samples adjust the underestimation incurred by the posterior variance as an estimator of true mean squared error. We explain the suggested method through a practical dataset of hitters in baseball games. We also perform a Monte Carlo study to compare the accuracy measures of mean squared error.

• Journal of the Korean Mathematical Society
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• v.47 no.2
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• pp.263-275
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• 2010

Let {$X_n;n\;\geq\;1$} be a strictly stationary sequence of negatively associated random variables with mean zero and finite variance. Set $S_n\;=\;{\sum}^n_{k=1}X_k$, $M_n\;=\;max_{k{\leq}n}|S_k|$, $n\;{\geq}\;1$. Suppose $\sigma^2\;=\;EX^2_1+2{\sum}^\infty_{k=2}EX_1X_k$ (0 < $\sigma$ < $\infty$). We prove that for any b > -1/2, if $E|X|^{2+\delta}$(0<$\delta$$\leq$1), then $$lim\limits_{\varepsilon\searrow0}\varepsilon^{2b+1}\sum^{\infty}_{n=1}\frac{(loglogn)^{b-1/2}}{n^{3/2}logn}E\{M_n-\sigma\varepsilon\sqrt{2nloglogn}\}_+=\frac{2^{-1/2-b}{\sigma}E|N|^{2(b+1)}}{(b+1)(2b+1)}\sum^{\infty}_{k=0}\frac{(-1)^k}{(2k+1)^{2(b+1)}}$$ and for any b > -1/2, $$lim\limits_{\varepsilon\nearrow\infty}\varepsilon^{-2(b+1)}\sum^{\infty}_{n=1}\frac{(loglogn)^b}{n^{3/2}logn}E\{\sigma\varepsilon\sqrt{\frac{\pi^2n}{8loglogn}}-M_n\}_+=\frac{\Gamma(b+1/2)}{\sqrt{2}(b+1)}\sum^{\infty}_{k=0}\frac{(-1)^k}{(2k+1)^{2b+2'}}$$, where $\Gamma(\cdot)$ is the Gamma function and N stands for the standard normal random variable.

• Management Science and Financial Engineering
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• v.20 no.1
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• pp.27-32
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• 2014

This paper introduces three different simulation algorithms of the shifted Poisson distribution. The first algorithm is the inverse transform method, the second is the rejection sampling, and the third is gamma-Poisson hierarchy sampling. Three algorithms have different regions of parameters at which they are efficient. We numerically compare those algorithms with different sets of parameters. As an application, we give a simulation method of the constant elasticity of variance model.

• Communications for Statistical Applications and Methods
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• v.22 no.6
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• pp.557-573
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• 2015

In this paper we develop a Bayesian inference for a multiplicative double seasonal autoregressive (DSAR) model by implementing a fast, easy and accurate Gibbs sampling algorithm. We apply the Gibbs sampling to approximate empirically the marginal posterior distributions after showing that the conditional posterior distribution of the model parameters and the variance are multivariate normal and inverse gamma, respectively. The proposed Bayesian methodology is illustrated using simulated examples and real-world time series data.