In this paper,the Rama distribution(RD)is considered,and a new model called extended Rama distribution(ERD)is suggested.The new model involves the sum of two independent Rama distributed random variables.The probabili...In this paper,the Rama distribution(RD)is considered,and a new model called extended Rama distribution(ERD)is suggested.The new model involves the sum of two independent Rama distributed random variables.The probability density function(pdf)and cumulative distribution function(cdf)are obtained and analyzed.It is found that the new model is skewed to the right.Several mathematical and statistical properties are derived and proved.The properties studied include moments,coefficient of variation,coefficient of skewness,coefficient of kurtosis and moment generating function.Some simulations are undertaken to illustrate the behavior of these properties.In addition,the reliability analysis of the distribution is investigated through the hazard rate function,reversed hazard rate function and odds function.The parameter of the distribution is estimated based on the maximum likelihood method.The distributions of order statistics for ERD are also presented.The performance of the suggested model is compared with several other lifetime distributions based on some goodness of fit tests on a real dataset.It turns out that the suggested model is more flexible than its competitors considered in this study,for modeling real lifetime data.展开更多
In the northern Bay of Bengal,the existence of intense temperature inversion during winter is a widely accepted phenomenon.However,occurrences of temperature inversion during other seasons and the spatial distribution...In the northern Bay of Bengal,the existence of intense temperature inversion during winter is a widely accepted phenomenon.However,occurrences of temperature inversion during other seasons and the spatial distribution within and adjacent to the Bay of Bengal are not well understood.In this study,a higher resolution spatiotemporal variation of temperature inversion and its mechanisms are examined with mixed layer heat and salt budget analysis utilizing long-term Argo(2004 to 2020)and RAMA(2007 to 2020)profiles data in the Bay of Bengal and eastern equatorial Indian Ocean(EEIO).Temperature inversion exists(17.5%of the total 39293 Argo and 51.6%of the 28894 RAMA profiles)throughout the year in the entire study area.It shows strong seasonal variation,with the highest occurrences in winter and the lowest in spring.Besides winter inversion in the northern Bay of Bengal,two other regions with frequent temperature inversion are identified in this study for the first time:the northeastern part of the Bay of Bengal and the eastern part of the EEIO during summer and autumn.Driving processes of temperature inversion for different subregions are revealed in the current study.Penetration of heat(mean~25 W/m;)below the haline-stratified shallow mixed layer leads to a relatively warmer subsurface layer along with the simultaneous cooling tendency in mixed layer,which controls more occurrence of temperature inversion in the northern Bay of Bengal throughout the year.Comparatively lower cooling tendency due to net surface heat loss and higher mixed layer salinity leaves the southern part of the bay less supportive to the formation of temperature inversion than the northern bay.In the EEIO,slightly cooling tendency in the mixed layer along with the subduction of warm-salty Arabian Sea water beneath the cold-fresher Bay of Bengal water,and downwelling of thermocline creates a favorable environment for forming temperature inversion mainly during summer and autumn.Deeper isothermal layer depth,and thicker barrier layer thickness intensify the temperature inversion both in the Bay of Bengal and EEIO.展开更多
The observable universe together with the observer, both on sufficiently large scale, succeeds in their self-entaglement and paradoxical inconsistency. For consistency, the observable universe and the observer have to...The observable universe together with the observer, both on sufficiently large scale, succeeds in their self-entaglement and paradoxical inconsistency. For consistency, the observable universe and the observer have to be on different scale (size) provided, the cosmological principle is preserved as an approximation in a limit. The point is the univers’ principle itself. Our proposal for the disentaglement is superimposition out of complexity. The distance contraction, as observed in electrical soundings over horizontally stratified earth (static system), is identified as a counterpart of Doppler shift in dynamical systems. An alternative answer to the question about an effective cause of the Doppler shift sounds the heterogeneities under superimposing scales. The energy propagating in stratified universe exhibits a shift which could be attributed not only to the expansion but alternatively to fluctuations across different scales. When nothing is said or predetermined about kinematics of a system, both causes might share in the effect. It opens different static and kinematic possibilities, which challenge established theories of energy/information transmission and/or sounding at a distance as well as pertinent technology in prospect.展开更多
基金The authors extend their appreciation to Universiti Kebangsaan Malaysia for providing a partial funding for the work under the grant number GGPM-2017-124 and TAP-K017073 which were obtained by Mohd Aftar Abu Bakar.
文摘In this paper,the Rama distribution(RD)is considered,and a new model called extended Rama distribution(ERD)is suggested.The new model involves the sum of two independent Rama distributed random variables.The probability density function(pdf)and cumulative distribution function(cdf)are obtained and analyzed.It is found that the new model is skewed to the right.Several mathematical and statistical properties are derived and proved.The properties studied include moments,coefficient of variation,coefficient of skewness,coefficient of kurtosis and moment generating function.Some simulations are undertaken to illustrate the behavior of these properties.In addition,the reliability analysis of the distribution is investigated through the hazard rate function,reversed hazard rate function and odds function.The parameter of the distribution is estimated based on the maximum likelihood method.The distributions of order statistics for ERD are also presented.The performance of the suggested model is compared with several other lifetime distributions based on some goodness of fit tests on a real dataset.It turns out that the suggested model is more flexible than its competitors considered in this study,for modeling real lifetime data.
基金The Marine Scholarship of ChinaChina Scholarship Council(CSC)for International Doctoral Students under contract No.2017SOA016552the National Natural Science Foundation of China under contract Nos U2106204 and 41676003。
文摘In the northern Bay of Bengal,the existence of intense temperature inversion during winter is a widely accepted phenomenon.However,occurrences of temperature inversion during other seasons and the spatial distribution within and adjacent to the Bay of Bengal are not well understood.In this study,a higher resolution spatiotemporal variation of temperature inversion and its mechanisms are examined with mixed layer heat and salt budget analysis utilizing long-term Argo(2004 to 2020)and RAMA(2007 to 2020)profiles data in the Bay of Bengal and eastern equatorial Indian Ocean(EEIO).Temperature inversion exists(17.5%of the total 39293 Argo and 51.6%of the 28894 RAMA profiles)throughout the year in the entire study area.It shows strong seasonal variation,with the highest occurrences in winter and the lowest in spring.Besides winter inversion in the northern Bay of Bengal,two other regions with frequent temperature inversion are identified in this study for the first time:the northeastern part of the Bay of Bengal and the eastern part of the EEIO during summer and autumn.Driving processes of temperature inversion for different subregions are revealed in the current study.Penetration of heat(mean~25 W/m;)below the haline-stratified shallow mixed layer leads to a relatively warmer subsurface layer along with the simultaneous cooling tendency in mixed layer,which controls more occurrence of temperature inversion in the northern Bay of Bengal throughout the year.Comparatively lower cooling tendency due to net surface heat loss and higher mixed layer salinity leaves the southern part of the bay less supportive to the formation of temperature inversion than the northern bay.In the EEIO,slightly cooling tendency in the mixed layer along with the subduction of warm-salty Arabian Sea water beneath the cold-fresher Bay of Bengal water,and downwelling of thermocline creates a favorable environment for forming temperature inversion mainly during summer and autumn.Deeper isothermal layer depth,and thicker barrier layer thickness intensify the temperature inversion both in the Bay of Bengal and EEIO.
文摘The observable universe together with the observer, both on sufficiently large scale, succeeds in their self-entaglement and paradoxical inconsistency. For consistency, the observable universe and the observer have to be on different scale (size) provided, the cosmological principle is preserved as an approximation in a limit. The point is the univers’ principle itself. Our proposal for the disentaglement is superimposition out of complexity. The distance contraction, as observed in electrical soundings over horizontally stratified earth (static system), is identified as a counterpart of Doppler shift in dynamical systems. An alternative answer to the question about an effective cause of the Doppler shift sounds the heterogeneities under superimposing scales. The energy propagating in stratified universe exhibits a shift which could be attributed not only to the expansion but alternatively to fluctuations across different scales. When nothing is said or predetermined about kinematics of a system, both causes might share in the effect. It opens different static and kinematic possibilities, which challenge established theories of energy/information transmission and/or sounding at a distance as well as pertinent technology in prospect.
