• Title/Summary/Keyword: normality test

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Test for Trend Change in NBUE-ness Using Randomly Censored Data

  • Dae-Kyung Kim;Dong-Ho Park;June-Kyun Yum
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.1-12
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    • 1995
  • Let F be a life distribution with finite mean $\mu$ Then F is said to be in new better then worse than used in expectation (NBWUE(p)) class if $\varphi(u) {\geq} u$ for $0 {\leq}u{\leq}t_0$ and ${\varphi}(u) {\leq} u$ for $t_0< u {\leq} 1$ where ${\varphi}(u)$ is the scaled total-time-on-test transform and $p=F(t_0)$. We propose a testing procedure for $H_0$ : F is exponential against $H_1$ : NBWUE(p), and is not expontial, (or $H_1\;'$ : F is NWBUE (p), and is not exponential) using randomly censored data. Our procedure assumes kmowledge of the proportion p of the population that fail at or before the change-point $\t_0$. Know ledge of $\t_0$ itself is not assumed. The asymptotic normality of the test statistic is established and a Monte Carlo experiment is performed to investigate the speed of convergence of the test statistic to normality. The power of our test is also studied.

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A Comparison Analysis on the Sales Price of Apartments according to G-SEED by Using T-test (T-test분석을 통한 녹색건축인증 유무에 따른 공동주택의 매매가격 비교 분석)

  • Jeon, Sang-Sub;Son, Ki-Young;Lee, Joo-Hyeong;Oh, Jun-Seok;Son, Seung-Hyun
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2019.11a
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    • pp.207-208
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    • 2019
  • Currently, as the public interest for environmental issues has grown rapidly, the needs for G-SEED have also increased. However, as investment according to eco-friendly elements is inevitable to receive G-SEED certification, it is necessary to find out whether or not the sales price of apartments have increased compared to investment costs. Therefore, the objective of this study is to analyze the sales price of apartments according to G-SEED by using T-test. To achieve the objective, First, variables affecting on the sales price of apartments are selected. Second, the data are collected by using GIS(Geographic Information System). Third, after testing the normality, a comparison analysis is conducted on the sales price between G-SEED certified and non-certified apartments by using T-test. As a result, it is concluded that G-SEED certified apartments are more expensive than non-certified apartments. In the future, these findings can be utilized to develop of apartments price calculation model based on the G-SEED.

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A generalized Hollander-Proschan test for NBUE alternative based on U-statistics approach

  • Hassan, M.KH.
    • International Journal of Reliability and Applications
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    • v.16 no.2
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    • pp.113-122
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    • 2015
  • In this paper, we introduce U-statistics approach to generalized Hollander-Proschan test for new better than used (NBUE) alternative. We prove, the proposed test is equivalent to test was introduced by Anis and Mitra (2011) and includes test was introduced by Hollander Proschan (1975). Also, the asymptotic properties are studied. The powers of our test are estimated. The Pitman asymptotic efficiencies of proposed test are also calculated. Finally, the test is applied to some real data.

New Test for IDMRL(DIMRL) Alternatives using Censored Data

  • Na, Myung-Hwan;Lee, Hyun-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.57-65
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    • 1999
  • In a resent paper, Na, Lee and Kim(1998) develop a test statistic for testing whether or not the mean residual life changes its trend based on complete data and show that the new test performs better than previously known tests. In this paper, we extend their test to the randomly censored data. The asymptotic normality of the test statistic is established. Monte Carlo simulations are conducted to compare our test with a previously known test by the power of tests.

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On the Annual Change of Surface Wind at Seocheon, Korea (서천지방의 지상풍 연변화에 관하여)

  • 문승의;김백조
    • Journal of Environmental Science International
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    • v.7 no.3
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    • pp.375-382
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    • 1998
  • The characteristics of the basic statistics and steadiness of wind and the monthly normality test of surface wind distribution are investigated by using the observed wind data compiled from 10m meteorological observation tower at Seocheon district, where is located In the western coastal region of Korea. during the period from Feb. 7, 1996 to Feb. 7 1997 The northerly is appeared to be even in August and Sepember due to the influences of loccal circulation such as land and sea breeze. The correlation coefacients between two wind components are seemed to be positive during the in the period of from June to September and negative from October to April, respectively The constancy of wand Is high In shifts to lower values Increasing sampling time. It is found from monthly normality test based on the skewness and the excess of kurtosis coefficients that the distribution of zonal wind component is normal In spring and meridional one Is normal in late summer and early autumn.

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A new test of exponentiality against NDVRL

  • Hassan, M.KH.
    • International Journal of Reliability and Applications
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    • v.16 no.2
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    • pp.123-133
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    • 2015
  • In this paper, the problem of testing exponentiality against net decreasing variance residual lifetime (NDVRL) classes of life distributions is investigated. For this property a nonparametric test is presented based on kernel method. The test is presented for complete and right censored data. Furthermore, Pitman's asymptotic relative efficiency (PARE) is discussed to assess the performance of the test with respect to other tests. Selected critical values are tabulated. Some numerical simulations on the power estimates are presented for proposed test. Finally, numerical examples are presented for the purpose of illustrating our test.

Asymptotic Relative Efficiency of t-test Following Transformations

  • Yeo, In-Kwon
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.467-476
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    • 1997
  • The two-sample t-test is not expected to be optimal when the two samples are not drawn from normal populations. According to Box and Cox (1964), the transformation is estimated to enhance the normality of the tranformed data. We investigate the asymptotic relative efficiency of the ordinary t-test versus t-test applied transformation introduced by Yeo and Johnson (1997) under Pitman local alternatives. The theoretical and simulation studies show that two-sample t-test using transformed date gives higher power than ordinary t-test for location-shift models.

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On Testing Monotonicity of Mean Residual Life from Randomly Censored Data

  • Lim, Jae-Hak;Koh, Jai-Sang
    • ETRI Journal
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    • v.18 no.3
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    • pp.207-213
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    • 1996
  • This paper proposes a new nonparametric test for testing the null hypothesis that the MRL is constant against the alternative hypothesis that the MRL is decreasing (increasing) for ramdomly censored data. The proposed test statistic is a L-statistic, and we use L-statistic theory to establish its asymptotic normality of the test statistic. We discuss the efficiency loss due to censoring and also calculate the asymptotic relative efficiencies of our test statistic with respect to the Chen, Hollander and Langberg's test for several alternatives.

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Testing NBUCA Class of Life Distribution Using U-Test

  • Al-Nachawati, H.
    • International Journal of Reliability and Applications
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    • v.8 no.2
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    • pp.125-135
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    • 2007
  • In this paper, testing exponentiality against new better than used in convex average and denote by (NBUCA), or its dual (NWUCA) is investigated through the U-test. The percentiles of these tests are tabulated for samples sizes n = 5(1)40. The power estimates of the test are simulated for some commonly used distributions in reliability. Pitman's asymptotic efficiency of the test is calculated and compared. Data of 40 patients suffering from blood cancer disease (Leukemia) is considered as a practical application of the proposed test in the medical sciences.

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