الحاج عبدالقیوم
۱۵؍ نومبر ۲۰۰۱ء کو الحاج عبدالقیوم صاحب کا انتقال ہوگیا، وہ کلکتہ کے ایک مشہور ہوٹل کے مالک تھے، اﷲ تعالیٰ نے انہیں دولت کے ساتھ، قوم و ملت کا درد، دین داری اور ہر طبقے میں مقبولیت عطا کی تھی، کلکتہ ہی نہیں ملک کے بھی علمی و تعلیمی اداروں کو ان سے بڑا فیض پہنچتا تھا۔
یتیم خانہ اسلامیہ کلکتہ کے عرصے تک صدر رہے، اس زمانے میں یتیموں کی پرورش اور کفالت میں کوئی دقیقہ باقی نہیں رکھا، اسلامیہ ہسپتال کے بھی برسوں صدر رہے کلکتہ کے مسلمانوں کے سب سے قدیم ادارہ انجمن مفید السلام کے اصل کرتا دھرتا جناب سید محمد صلاح الدین صاحب تھے جو جناب سید صباح الدین عبدالرحمان صاحب کے حقیقی چچا تھے، ان کے کلکتہ چھوڑنے کے بعد انجمن کے حالات درہم برہم ہوئے تو الحاج عبدالقیوم صاحب نے اس کو اپنے ہاتھ میں لے لیا اور اپنے رفیق الحاج غلام رسول صاحب کی معاونت سے اس کے حالات درست کئے، وہ ۱۹۹۲ء تک انجمن کے صدر رہے، اور اپنے بعد کلکتہ کے ایک مقبول اور ہر دل عزیز شخص جسٹس خواجہ محمد یوسف کو انجمن کا صدر بنوایا۔
ہندوستان کے جن علمی و تعلیمی اداروں سے ان کا زیادہ تعلق تھا ان میں دارالمصنفین، ندوۃ المصنفین اور دارالعلوم ندوۃ العلما خاص طور سے قابل ذکر ہیں، مولانا مفتی عتیق الرحمان صاحب کے وہ بڑے قدرداں تھے اور ندوۃالمصنفین کی اعانت اور سرپرستی فرماتے تھے، دارلعلوم ندوۃ العلما کی بھی امداد فرماتے، دارالمصنفین کے سابق ناظم جناب سید صباح الدین عبدالرحمان مرحوم بھی الحاج عبدالقیوم صاحب کے بڑے مداح تھے اور کلکتہ تشریف لے جاتے تو جن لوگوں سے التزاماً ملاقات کرتے ان میں یہ اور حاجی غلام رسول مرحوم بھی تھے۔
عبدالقیوم صاحب اہل علم کے بڑے قدرداں تھے علما اور دانش وروں...
Reincarnation is a basic Hindu belief according to which the soul of a person is recreated for second time in different shapes according to their different actions. It is known as the belief of Samsara or reincarnation in Hinduism. If the person who passes away is good, his soul is transferred into a beautiful and nice body like that of birds etc. But if he is an evil person, his soul is transferred into ugly insects and animals etc. According to this belief, the difference between two human beings is due to the difference in their previous action or “karma” that he has committed in his previous birth. Human actions cannot be fruitful in this world and this is why a second birth is needed. This belief is wrong from Shariah perspective and it contradicts the basic Islamic belief of resurrection. Reincarnation assumes that there is no specific day on which actions will be rewarded; rather it is Auagun or Juni Cycle through which a human being deserves positive or negative reward. Imam Razi has refuted this belief through both logical and textual evidences. He has also replied the objections raised against the covenant of “alast”. (الست) According to Shariah, there is a second world beyond this physical for reward or punishment of deeds which is known as the Day of Judgment Doomsday. On this day, the Scale will be set and human actions will be weighed. Consequently, he will deserve either Paradise or hell. Paradise is an abode of perpetual rest and satisfaction whereas hell is a place of humiliation and degradation.
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.