57. Al-Hadeed/The Iron
I/We begin by the Blessed Name of Allah
The Immensely Merciful to all, The Infinitely Compassionate to everyone.
57:01
a. Whatever is within the celestial realm and the terrestrial world is Glorifying Allah – The One and Only God,
b. as HE is The Almighty, The All-Wise.
57:02
a. For HIM is the Sovereignty of the celestial realm and the terrestrial world.
b. HE gives life as well as death.
c. And HE Manifests Sovereignty over all existence.
57:03
a. HE is The First and HE is The Last, i.e. without a beginning and without an end, and
b. HE is The Apparent and HE is The Hidden, and
c. HE is The Knowledgeable about everything.
57:04
a. HE created the celestial realm and the terrestrial world in six days/ time span,
b. then established HIMSELF on the Throne of Almightiness.
c. HE Knows whatever enters the earth, and whatever comes out of it,
d. and whatever descends from the celestial realm, and whatever ascends to it.
e. And HE is with you wherever you may be.
f. Allah Watches whatever you do.
57:05
a. To HIM belongs the Sovereignty of the celestial realm and the terrestrial world,
b. and to Allah will return all matters for judgment and award.
57:06
a. HE makes the nighttime to pass into the daytime,
b. and HE makes the daytime to pass into the nighttime.
c. And HE knows whatever is within the hearts of people.
57:07
a. Believe in Allah and HIS Messenger, and
b. spend out in the Cause of Allah of that wealth, possessions, and knowledge which...
Man is social by nature, and has been living collective community. Life from the very inauguration. Islam familiarize healthy teaching in every speech of life to go faster the Human well-being. The family is social group Caracterised by common dwelling, economic co-operation and duplicate The main feature of islam social System entitle that family was concentrated as an important, basic institute. Islam introduced such values wich discriminating internal and external refinement helped creating harmony, among the individuals in different roles and figures, so that all prejudgments and judgements should come to an end in Muslims society according to Quranic teaching. The Holy Prophet (SAW) guided the individual sociological level and the community at sociological level to create a balanced social, moral, economical, and all aspect of family life. Even in the present current system, the basic unit family whether its nature is unclear or extended, is plying its important role for the continuity of human race, training the human source as a tool to create chastisement andorginization in the social set–up, building of character and personality on constructive, good and healthy lines to be able to achieve his sociological, ethiecal role in this society with the specific outlook of being accountable to Almighty Allah Who created man and sent him in thise world to fulfill the mission of obeing his inventor.
This study was conducted with the aim to derive an expression for variance of the maximum likelihood estimators of the hidden Markov model having multipartite graph structure transition. To obtain the estimates of variance, observed information matrix was derived using the Louise (1982) method. This study derived information matrix for the m1 and m2 partition of states which were observed at time 2t ? 1 and 2t respectively. Also, in this study, lower bound for variance of maximum likelihood estimates was derived. The study also defines a parametric bootstrap procedure for computation of variance. To check the validity of derived matrix for maximum likelihood estimates, a numerical example was used to estimate the variance using derived information matrix and compared with the results of parametric bootstrap. For this purpose, a real world data, named, as ”faithful” considered, which is freely available in statistical software R. The data-set have 272 observations on each of two variables i.e. eruption time te and waiting time tw, both measured in minutes. In this study, variable te was considered in one partition of states, which observed at time 2t?1 and variable tw was considered in second partition of states, which observed at time 2t. The study compared estimated variances by observed matrix and parametric bootstrap procedure for different combination of states and sample sizes. The comparison showed a smaller variation in values of maximum likelihood estimates obtained from observed matrix than by bootstrap procedure. In combination of states, both approaches showed almost similar variances. The overall comparison indicates that estimated variance of maximum likelihood estimators by observed matrix seems meaningful i.e. explaining less variation than that obtained from the bootstrap procedure. To study the empirical performance of the derived observed matrix for variance of maximum likelihood estimators, an extensive simulation study of various sample size was conducted. Simulated data were generated for different sizes and variance was calculated by observed matrix.