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A New Discrete Family of Reduced Modified Weibull Distribution
Ademola Lateef Oloko,
Osebekwin Ebenezer Asiribo,
Ganiyu Abayomi Dawodu,
Mathew Omonigho Omeike,
Nurudeen Ayobami Ajadi,
Abayomi Olumuyiwa Ajayi
Issue:
Volume 3, Issue 3, September 2017
Pages:
25-31
Received:
16 August 2017
Accepted:
31 August 2017
Published:
26 October 2017
Abstract: Discretization of continuous lifetime distribution is an interesting and intuitively appealing approach to derive a discrete lifetime model. This study derived a discretized form of Reduced Modified Weibull distribution known as the Marshall-Olkin Discrete Reduced Modified Weibull (MDRMW) distribution. The mathematical and statistical properties of MDRMW distribution were derived and compared with existing distributions of Discrete Reduced Modified Weibull distribution (DRMW), Exponentiated Discrete Weibull distribution (EDW) and Two Parameters Discrete Lindley distribution (TDL). Maximum likelihood method was used to derive the statistics of MDRMW parameters. The Aarset Reliability dataset was fitted for the existing and derived distribution and AIC and Kolmogorov Smirrnoff (KS) were compared. The shape of MDRMW distribution was unimodal and monotonic decreasing. The plot of hazard rate function could be decreasing or bath-tub. The AIC and KS values of Aarset reliability data analysis were 483.9 and 0.17579; 507.8 and 0.24435; 485.2 and 0.17897 for MDRMW, DRMW and TDL respectively. The AIC and KS values of Leukemia survival data analysis were 668.2 and 0.11053; 751.9 and 0.39285 respectively. The Aarset reliability data analysis showed that MDRMW compared favorably with existing distributions. The MDRMW and DRMW handled Leukemia survival data set as against EDW and TDL. The values of AIC and KS for MDRMW were lower than DRMW, EDW and TDL. This showed that MDRMW was better than the existing distributions.
Abstract: Discretization of continuous lifetime distribution is an interesting and intuitively appealing approach to derive a discrete lifetime model. This study derived a discretized form of Reduced Modified Weibull distribution known as the Marshall-Olkin Discrete Reduced Modified Weibull (MDRMW) distribution. The mathematical and statistical properties of...
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Case Studies of Statistical Analysis in Engineering
Osama Ahmed Marzouk,
Ahmad Izzat Jamrah
Issue:
Volume 3, Issue 3, September 2017
Pages:
32-37
Received:
18 February 2017
Accepted:
27 February 2017
Published:
31 October 2017
Abstract: Statistical analysis finds a wide range of applications in scientific research, management, finance, and engineering. In this article, we aim at shedding some light on the significance of two tools of statistical analysis, namely ANOVA and regression, in civil (including environmental), mechanical, and architectural engineering disciplines through a short survey of recent research studies that utilized these tools to reach important engineering models or rules of interest to engineers for design or development. The studies represent diverse areas of traffic planning, residential energy, indoor air quality, and high-speed machining. We briefly present some sample selection rules and analysis outcomes in these studies.
Abstract: Statistical analysis finds a wide range of applications in scientific research, management, finance, and engineering. In this article, we aim at shedding some light on the significance of two tools of statistical analysis, namely ANOVA and regression, in civil (including environmental), mechanical, and architectural engineering disciplines through ...
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Drinking Water Quality Influence to the Peasants’ Morbidity in the Ukrainian Settlements (by the Results of Sociological Survey and Correlation Analyses)
Hryhorenko Liubov Victorovna
Issue:
Volume 3, Issue 3, September 2017
Pages:
38-46
Received:
12 March 2017
Accepted:
28 March 2017
Published:
31 October 2017
Abstract: During 2012 – 2014 years our study showed significant trend towards growth useage of drinking water purifiers, mostly, for drinking purposes, among peasants and city-dwellers. Peasants – residents of Dnepropetrovsk region (Ukraine) have been performed deterioration quality of piped drinking water as well as smell – 22.6%, color – 14.6%, rust – 13.3%, precipitate – 8.0%, turbidity and suspended solids – 10.6%, taste and aftertaste – 13.3%, foam and impurities – 10.6% (p < 0.05). Minority of peasants – 6.66% consider "problem with drinking water quality does not exist". Our study indicates growth daily consumption of drinking water is related to peasants’ population: from 2 – 5 liters/daily (33.3%) to 20 – 40 liters/daily (33.3%). In the article was shown influence some components of the chemical composition of potable water in the 6 rural tacsons of Dnepropetrovsk region (Zn, Cu, Mn, pH, F, Al, ammonium nitrogen, nitrites, nitrates, oxidation) to the morbidity of 14 y.o. children such diseases as: blood circulation system, tumors, blood and blood organs, anemia, nervous system, congenital anomalies, i.e. blood circulation system (p < 0.05). Correlation was significantly determined between general rigidity and iron on the potable water and blood and blood organs diseases, and anemia among children population in the majority of rural tacsons (r=0.58 – 0.79); between anemia – content of chlorides and sulfates in the centralized water sources (r = 0.87) (p < 0.05).
Abstract: During 2012 – 2014 years our study showed significant trend towards growth useage of drinking water purifiers, mostly, for drinking purposes, among peasants and city-dwellers. Peasants – residents of Dnepropetrovsk region (Ukraine) have been performed deterioration quality of piped drinking water as well as smell – 22.6%, color – 14.6%, rust – 13.3...
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Statistical Investigation on the Hydrolysis and Fermentation Processes of Cassava Peels in the Production of Bioethanol
Adenomon Monday Osagie,
Evans Patience Ogheneofejiro,
Tela Musa Nma
Issue:
Volume 3, Issue 3, September 2017
Pages:
47-55
Received:
14 March 2017
Accepted:
17 April 2017
Published:
31 October 2017
Abstract: There are several types of experiments which require statistical investigation. These are characterized by the nature of treatments under investigation and also the nature of comparison required among them so as to meet the objectives of the experiment. To achieve this, cassava peels was collected from Kasuwa Gwari market Minna, Niger state dried and taken for hydrolysis and fermentation processes. Temperature, acid concentration, cassava biomass ratio, ph and time were varied to get the optimum yield of reducing sugar. Curve fitting and a two-way analysis of variance were used in analyzing the data. Most of the results from the experiment follows quadratic model. Furthermore, time and temperature were very significant in both hydrolysis and fermentation processes. We therefore concluded that for hydrolysis process yield is optimum at 110°C and 30mins, while for fermentation process yield is optimum at 35°C and at 6 days and 7 days respectively.
Abstract: There are several types of experiments which require statistical investigation. These are characterized by the nature of treatments under investigation and also the nature of comparison required among them so as to meet the objectives of the experiment. To achieve this, cassava peels was collected from Kasuwa Gwari market Minna, Niger state dried a...
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Fitting a Poisson Regression Model to Reported Deaths from HIV/AIDS in Nigeria
Adenomon Monday Osagie,
Adenomon Clara Adebukola
Issue:
Volume 3, Issue 3, September 2017
Pages:
56-60
Received:
14 March 2017
Accepted:
2 May 2017
Published:
31 October 2017
Abstract: The Human Immunodeficiency Virus (HIV)/Acquired Immunodeficiency syndrome (AIDS) epidemic has become one of the greatest challenges to public health among adults in Sub-Saharan African. In Nigeria, HIV/AIDS epidemic remain one of the major causes of death in the general population, particularly among young adult. In this paper, we will use Poisson regression model to study the linear trend of annual deaths resulting from HIV/AIDS in Nigeria for the period of 1996 to 2004. The result from the Poisson regression revealed an increase in rate of death resulting from HIV/AIDS in Nigeria. Therefore, there should be increase in the level of awareness of HIV/AIDS and other precautionary measures should also be observed in other to reduce the menace.
Abstract: The Human Immunodeficiency Virus (HIV)/Acquired Immunodeficiency syndrome (AIDS) epidemic has become one of the greatest challenges to public health among adults in Sub-Saharan African. In Nigeria, HIV/AIDS epidemic remain one of the major causes of death in the general population, particularly among young adult. In this paper, we will use Poisson ...
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Research on Statistics in Large Sample Test
Yangjing Chong,
Fangfang Guo,
Wenyuan Sun
Issue:
Volume 3, Issue 3, September 2017
Pages:
61-63
Received:
16 March 2017
Accepted:
7 April 2017
Published:
31 October 2017
Abstract: Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.
Abstract: Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit the...
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