• Title/Summary/Keyword: Close Returns Test

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Influence of Noise on Chaotic Time Series (카오스 시계열에 대한 잡음의 영향)

  • Choi, Min-Ho;Lee, Eun-Tae;Kim, Hung-Soo
    • Journal of Korea Water Resources Association
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    • v.42 no.4
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    • pp.355-363
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    • 2009
  • The purpose of this paper is to investigate the influence of noise on chaotic time series. We used two time series of Lorenz system and of Great Salt Lake's volume data which are well known as chaotic systems. This study investigated the attractors, correlation dimensions, and Close Returns Plots and Close Returns Histograms of two time series to investigate the influence of noise as increasing noise level. We performed Chi-square test to the relative frequency of Close Returns Histogram from Close Returns Plot for the investigation of stochastic process of chaotic time series as increasing noise level of time series. As the results, two time series were changed from chaotic to stochastic series as noise level is increased. Finally, we analyzed the effect of noise cancellation by using Simple Moving Average method. The results of applications of Simple Moving Average method to Lorenz and GSL time series showed that we could effectively cancel the noise. Then we could confirm the applicability of Simple Moving Average method to cancel the noise for the hydrologic time series having chaotic characteristics.

Bootstrap-Based Test for Volatility Shifts in GARCH against Long-Range Dependence

  • Wang, Yu;Park, Cheolwoo;Lee, Taewook
    • Communications for Statistical Applications and Methods
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    • v.22 no.5
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    • pp.495-506
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    • 2015
  • Volatility is a variation measure in finance for returns of a financial instrument over time. GARCH models have been a popular tool to analyze volatility of financial time series data since Bollerslev (1986) and it is said that volatility is highly persistent when the sum of the estimated coefficients of the squared lagged returns and the lagged conditional variance terms in GARCH models is close to 1. Regarding persistence, numerous methods have been proposed to test if such persistency is due to volatility shifts in the market or natural fluctuation explained by stationary long-range dependence (LRD). Recently, Lee et al. (2015) proposed a residual-based cumulative sum (CUSUM) test statistic to test volatility shifts in GARCH models against LRD. We propose a bootstrap-based approach for the residual-based test and compare the sizes and powers of our bootstrap-based CUSUM test with the one in Lee et al. (2015) through simulation studies.

The Day of the Week Effect in Chinese Stock Market

  • Lu, Xing;Gao, Han
    • The Journal of Asian Finance, Economics and Business
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    • v.3 no.3
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    • pp.17-26
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    • 2016
  • This study investigates daily stock market anomalies in Chinese stock market, using nine most representative stock indices over an eleven year time period spanning from pre-financial crisis era to six years into the financial crisis. This research is the first to test the presence of the day of the week effect on stock returns in the Chinese stock exchanges during the financial crisis. We find that the day of week effects have been strongly significant in Chinese stock exchanges since 2004. However, unlike the previously found negative Monday effect and positive Friday effect in the U.S., Chinese stock market shows positive returns on Mondays and negative returns on Tuesdays. More importantly, the negative Tuesday effect is only significant after the inception of financial crisis. The results indicate a positive effect on Mondays and a negative effect on Thursdays. More importantly, we find a negative Tuesday effect during the financial crisis, which suggests a spillover of the Monday effect from the U.S. stock market. Our results shed some light on the degree of market efficiency in the largest emerging capital market in the world, and its increasingly close relationship with the U.S. capital market.

An Analysis on Economies of Scale for Tuna Distant Longline Fishery Using a Translog Cost Function (트랜스로그 비용함수를 이용한 참치연승어업 규모의 경제성 분석)

  • Cho, Hoon-Seok;Nam, Jong-Oh
    • The Journal of Fisheries Business Administration
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    • v.51 no.3
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    • pp.17-31
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    • 2020
  • The purpose of this study is to identify economic situation on scale of tuna distant longline fishery by analyzing its economies of scale using the cost function. To analyze its economics of scale, the deep-sea fishing statistics were used from 2012 to 2016. In detail, the number of panels for estimating the cost function was 68 tuna distant longline vessels from 2012 to 2016, and the total number of observations over the five years were 340. As a final model, the two-way fixed effect model based on the translog cost function was adopted through the F test, the Breusch-Pagan test and the Hausman test. As a result of the analysis, it was found that tuna distant longline fishery between 2012 and 2014 was diseconomies of scale, the fishery between 2015 and 2016 was economies of scale. However, the economic indicators of the scale from 2012 to 2016 were almost close to zero, indicating that the constant returns to scale, the optimal scale, were reached. Therefore, in the situation where the amount of fishery resources in the world continues to decrease, it is necessary to prepare a method to obtain economic benefits through scale maintenance and reduction rather than indiscriminate scale expansion.

Modelling and Residual Analysis for Water Level Series of Upo Wetland (우포늪 수위 자료의 시계열 모형화 및 잔차 분석)

  • Kim, Kyunghun;Han, Daegun;Kim, Jungwook;Lim, Jonghun;Lee, Jongso;Kim, Hung Soo
    • Journal of Wetlands Research
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    • v.21 no.1
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    • pp.66-76
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    • 2019
  • Recently, natural disasters such as floods and droughts are frequently occurred due to climate change and the damage is also increasing. Wetland is known to play an important role in reducing and minimizing the damage. In particular, water level variability needs to be analyzed in order to understand the various functions of wetland as well as the reduction of damage caused by natural disaster. Therefore, in this study, we fitted water level series of Upo wetland in Changnyeong, Gyeongnam province to a proper time series model and residual test was performed to confirm the appropriateness of the model. In other words, ARIMA model was constructed and its residual tests were performed using existing nonparametric statistics, BDS statistic, and Close Returns Histogram(CRH). The results of residual tests were compared and especially, we showed the applicability of CRH to analyze the residuals of time series model. As a result, CRH produced not only accurate randomness test result, but also produced result in a simple calculation process compared to the other methods. Therefore, we have shown that CRH and BDS statistic can be effective tools for analyzing residual in time series model.

Expiration-Day Effects on Index Futures: Evidence from Indian Market

  • SAMINENI, Ravi Kumar;PUPPALA, Raja Babu;MUTHANGI, Ramesh;KULAPATHI, Syamsundar
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.11
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    • pp.95-100
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    • 2020
  • Nifty Bank Index has started trading in futures and options (F&O) segment from 13th June 2005 in National Stock Exchange. The purpose of the study is to enhance the literature by examining expiration effect on the price volatility and price reversal of Underlying Index in India. Historical data used for the current study primarily comprise of daily close prices of Nifty Bank which is the only equity sectoral index in India which is traded in derivatives market and its Future contract value is derived from the underlying CNX Bank Index during the period 1st January 2010 till 31st March 2020. To check stationarity of the data, Augmented Dicky Fuller test was used. The study employed ARMA- EGARCH model for analysing the data. The empirical results revealed that there is no effect on the mean returns of underlying Index and EGARCH (1,1) model furthermore shows there is existence of leverage effect in the Bank Index i.e., negative shocks causes more fluctuations in the Index than positive news of similar magnitude. The outcome of the study specifies that there is no effect on volatility on the underlying sectoral index due to expiration days and also observed no price reversal effect once the expiration days are over.