• 제목/요약/키워드: Polynomial lag distribution

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Lagged Unstable Regressor Models and Asymptotic Efficiency of the Ordinary Least Squares Estimator

  • Shin, Dong-Wan;Oh, Man-Suk
    • Journal of the Korean Statistical Society
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    • 제31권2호
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    • pp.251-259
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    • 2002
  • Lagged regressor models with general stationary errors independent of the regressors are considered. The regressor process is unstable having characteristic roots on the unit circle. If the order of the lag matches the number of roots on the unit circle, the ordinary least squares estimator (OLSE) is asymptotically efficient in that it has the same limiting distribution as the generalized least squares estimator (GLSE) under the same normalization. This result extends the well-known result of Grenander and Rosenblatt (1957) for asymptotic efficiency of the OLSE in deterministic polynomial and/or trigonometric regressor models to a class of models with stochastic regressors.

시차구조의 설정에 따른 시장변동의 조정과정 분석 (An Analysis for the Adjustment Process of Market Variations by the Formulation of Time tag Structure)

  • 김태호;이청림
    • 응용통계연구
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    • 제16권1호
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    • pp.87-100
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    • 2003
  • 서로 연관관계에 있는 실제의 통계자료들은 동태적, 확률적 동시발생적으로 유발되며, 이로 인해 한 자료의 변동이 다른 자료에 미치는 영향은 같은 기간 뿐 아니라 시차를 두고 여러 기간에 걸쳐 지속되며 조정되어 간다. 그러나 일반적인 선형, 비선형 통계모형을 사용하여 현실동향을 분석하는 경우 자료의 이러한 특성에서 오는 시차관계를 통상 무시함으로써 변수 사이의 관계는 같은 기간 내에 결정되어야 하는 제약이 가해지게 된다. 그 결과 시간이 흐름에 따라 이들의 관계가 변화하는 과정이나 한 변수의 변동이 다른 변수에 미치는 장기적 영향도 추정할 수 없을 뿐 아니라 현실여건의 변동이나 전개과정을 설명하는 데도 큰 결함을 갖게 된다. 시차관계가 존재하는 변수에 실제 여건에 합당한 시차구조가 설정되면 현실이 정확히 반영되고, 모형에 내재된 변수들의 장단기 변동상황과 동태적 적응과정이 파악됨과 동시에 다양한 분석이 가능해지므로 모형의 활용도는 높아지게 된다.

Modeling Effect of Exchange Rate Volatility on Growth of Trade Volume in Pakistan

  • Siddiqui, Muhammad Ayub;Erum, Naila
    • The Journal of Asian Finance, Economics and Business
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    • 제3권2호
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    • pp.33-39
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    • 2016
  • This study empirically evaluates the impact of exchange rate volatility, foreign direct investment, terms of trade, inflation, and industrial production and foreign exchange reserves on Pakistani trade volume over the period of 1975-2010 using quarterly data set. The study employs financial econometrics methods such as Augmented Dickey Fuller (ADF) test GARCH (1, 1) technique and Almon Polynomial Distributed Lag (APDL) models to estimate the relationship of variables. Findings of the study are in accordance with theoretical relationships presented by Clark, Tamirisa, Wei, Sadikov, & Zeng (2004), McKenzie (1999), Dellas & Zilberfarb (1993) and Côté (1994). These findings are also in accordance with the empirical studies which support positive relationship of exchange rate volatility and exports presented by Hsu & Chiang (2011), Chit (2008), Feenstra & Kendall (1991), Esquivel & Larraín (2002) and Onafowora & Owoye (2008). Findings of the study in terms of imports are supported by the studies such as Lee (1999), Alam & Ahmad (2011) and Arize (1998). The study also recommends some very important policy prescriptions.

The Development of Predictive Growth Models for Total Viable Cells and Escherichia coli on Chicken Breast as a Function of Temperature

  • Heo, Chan;Kim, Ji-Hyun;Kim, Hyoun-Wook;Lee, Joo-Yeon;Hong, Wan-Soo;Kim, Cheon-Jei;Paik, Hyun-Dong
    • 한국축산식품학회지
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    • 제30권1호
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    • pp.49-54
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    • 2010
  • The aim of this research was to estimate the effect of temperature and develop predictive models for the growth of total viable cells (TVC) and Escherichia coli (EC) on chicken breast under aerobic and various temperature conditions. The primary models were determined by Baranyi model. The secondary models for the specific growth rate (SGR) and lag time (LT), as a function of storage temperature, were developed by the polynomial model. The initial contamination level of chicken breasts was around 4.3 Log CFU/g of TVC and 1.0 Log CFU/g of E. coli. During 216 h of storage, SGR of TVC showed 0.05, 0.15, and 0.54 Log CFU/g/h at 5, 15, and $25^{\circ}C$. Also, the growth tendency of EC was similar to those of TVC. As storage temperature increased, the values of SGR of microorganisms increased dramatically and the values of LT decreased inversely. The predicted growth models with experimental data were evaluated by $B_f$, $A_f$, RMSE, and $R^2$. These values indicated that these developed models were reliable to express the growth of TVC and EC on chicken breasts. The temperature changes of distribution and showcase in markets might affect the growth of microorganisms and spoilage of chicken breast mainly.