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On Different Modifications of Weibull Distribution

Thesis Info

Author

Zubair Ahmad

Department

Department of Statistics, QAU

Program

Mphil

Institute

Quaid-i-Azam University

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Page

xix, 104

Subject

Statistics

Language

English

Other

Call No: Diss / M. Phil / STAT / 286

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676719445252

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ماتم

کرنا ہو کسی زن کو جب کسی غم کا ماتم
چوڑی اپنے ہاتھ کی وہ توڑ دیتی ہے
سجنا چھوڑ دیتی ہے سنورنا چھوڑ دیتی ہے

پر لاحق ہو کسی مرد کو جب کوئی غم
تو کیسے کرے وہ اس کا ماتم

چوڑی آخر وہ نہ پہنے
غم میں جس کو توڑے وہ
نہ مثلِ عورت وہ بھی سنورے

ماتم میں جس کو چھوڑے وہ
کیا کرے پھر وہ بیچارا
کس کا لے آخر سہارا

ہاں اک بات آخر ہونے لگتی ہے
کہ داڑھی اُس کی وضع کھونے لگتی ہے
جبیں پہ غم سجا لیتا ہے وہ
اور بال اپنے بڑھا لیتا ہے وہ

آؤ دیکھو تو سہی میں نے
وہ سب چلن اپنا لیے ہیں
اور بال بھی اپنے بڑھا لیے ہیں

حسین بن منصور حلاج اور ان کی صوفیانہ تعلیمات کا علمی وتحقیقی جائزہ

A Sufi poet, teacher and philosopher, Hallaj was executed on the orders of an Abbasside caliph for uttering these words, taken to mean Hallaj as claiming himself to be God. After more than a decade of imprisonment, Hallaj was eventually executed publically in Baghdad in the year 922. He is seen by many as a revolutionary writer and teacher of his time, when practices of mysticism were not meant to be shared publically. Yet he remains a controversial figure, revered by Rumi, hated by many, he was labeled an intoxicated Sufi and is still read today. After his arrest in Sūs and a lengthy period of confinement (c. 911–922) in Baghdad, al-Ḥallāj was eventually crucified and brutally tortured to death. A large crowd witnessed his execution. He is remembered to have endured gruesome torture calmly and courageously and to have uttered words of forgiveness for his accusers. In a sense, the Islāmic community (ummah) had put itself on trial, for al-Ḥallāj left behind revered writings and supporters who courageously affirmed his teachings and his experience. In subsequent Islāmic history, therefore, the life and thought of al-Ḥallāj has been a subject seldom ignored. Here we get a realistic overview about him and his teachings.

Effects of Exercise on Electroencephalogram Parameters and Cognitive Functions in Mild Cognitive Impairment Patients

Mild cognitive impairment (MCI) is becoming an emerging problem for developing countries where there is increase in expected age. There is no specific therapeutic treatment for these patients. Evidence suggests that the combination of both exercise and physical activity has a greater effect on MCI patients, than exercise or physical activity alone. The objective of this study was to determine the short and long-term effects of aerobic exercise and Xbox 360 Kinect cognitive games on slowness, complexity, coherence in electroencephalography (EEG) signals, somatosensory evoke potentials (SEPs) and cognitive tests in MCI patients. A parallel group design study was conducted in the Pakistan Railways General Hospital, Rawalpindi. Patients were selected and randomly divided into Xbox 360 Kinect cognitive games group (n=22), aerobic exercise group (n=21), single session aerobic exercise group (n=14) and their respective control groups (n=22, n=22, n=14 respectively). The outcome measures were slowness, complexity coherence of EEG, SEPs and mini-mental state examination (MMSE), Montreal cognitive assessment scale (MoCA) and trail making test (TMT) A and B. EEG was recorded using the EMOTIV EPOC with 14 channels and Refa 72-channel stationary system. Patients were assessed before and after one session of intervention for short-term effects and after six weeks for long-term effects. After one session of aerobic exercise there were significant improvements in slowness (delta waves; 0.678+0.035 vs 0.791+0.033; p=0.015) and complexity (0.601+0.051 vs 0.470+0.042; p=0.027) of the EEG in aerobic exercise treated group as compared to no-aerobic exercise group. After six weeks there were significant xxii improvements in slowness (delta waves; 0.581+0.036 vs 0.815+0.025; p=0.005) and complexity (0.751+0.045 vs 0.533+0.046; p=0.001) of the EEG in the aerobic group as compared to no-aerobic group. Moreover, significant improvements were observed in the MMSE (p=0.032), MoCA (p=0.036), TMT-A (p=0.005) and TMT-B (p=0.007) in aerobic exercise group as compared to no-aerobic group. After one session of Xbox 360 Kinect cognitive games intervention, delta (0.704+0.025; p=0.013), theta (0.128+0.009; p=.0.00127) waves and complexity of EEG (0.642+0.042; p=0.008) significantly improved, in eyes closed state. Whereas after six weeks intervention of games, delta (0.673+0.029; p=0.013), theta (0.129+0.013; p=0.002), beta2 waves (0.044+0.009; p=0.046), complexity of EEG (0.051+0.042; p=0.016), MMSE (26.25+0.347vs 23.722+0.731; p=0.003), MoCA (25.65+0.310vs 22.00+0.504; p=0.0001), TMT-A (1.429+0.234vs 2.225+0.259; p=0.028) and TMT-B (2.393+0.201vs 3.780+0.195; p=0.0001) improved significantly. These changes were not observed in the control group. Upon comparison of aerobic exercise and Xbox 360 Kinetic cognition games, it was found that aerobic exercise has more short and long-term therapeutic effects on MCI patients as compared to Xbox 360 Kinect cognitive games group. Single session of aerobic exercise significantly decreased the inter-hemisphere coherence, however, it improved intrahemisphere coherence. After single session of aerobic exercise, there was significant decrease in peak amplitude of SEPs in MCI patients, however, no effect on SEPs peak latencies was found. This study suggests that aerobic exercise and Xbox 360 Kinetic cognitive games have dual/2-fold beneficial effect on age associated MCI. First one, the progression of MCI is slowed down significantly. Second, there is evidence of xxiii improvement in the cognitive state of MCI patients. Such intervention for treatment purpose could be helpful to rehabilitate MCI patients in third world countries.