Recent Advances in Lifetime and Reliability Models

Special Generalized Beta Models

Author(s): Gauss M. Cordeiro, Rodrigo B. Silva and Abraão D. C. Nascimento

Pp: 87-98 (12)

DOI: 10.2174/9781681083452120010006

* (Excluding Mailing and Handling)

Abstract

In this chapter, we provide theoretical essays about five special models in the beta family. For each model, its cdf, pdf and hrf have explicit forms, which can be utilized for determining some mathematical properties. Two applications are performed in order to illustrate the exibility of the densities under discussion.


Keywords: BBS; Beta-G model; BF; BGE; BMW; BW; Moment.

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      • 12. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
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      • 12: 314349518
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      • 14. app/Models/UserAccess/UserAccess.php:784
      • 15. middleware::check_user_access:114
      • 16. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 18. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
    • select * from `chapter` where `chapter_id` = '13512' limit 1
      410μsalphaeurekaselec_live_10_06_2022ChapterController.php#1406
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      • 16. app/Http/Controllers/ChapterController.php:1406
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select CONCAT_WS(' ',au.first_name, ' ', ifnull(au.initials,''), ' ', au.last_name) as authors, CONCAT(au.last_name, IFNULL(CONCAT(' ', au.initials), ''), ' ', au.first_name) AS authorsRIS, CONCAT_WS(' ',au.last_name, ' ', ifnull(au.initials,''), ' ', au.first_name) as authorsCiteAs, CONCAT_WS(' ',au.first_name, IFNULL(CONCAT(' ', au.initials), ''), IFNULL(CONCAT(' ', au.last_name), '')) as authorsmodal , `au`.*, `af`.`ror_id`, `af`.`institution`, `af`.`department`, `af`.`country`, `af`.`city`, `af`.`address`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.institution,','),''), ifnull(concat(af.department,','),''), ifnull(concat(af.address,','),''), ifnull(concat(af.city,','),''), ifnull(concat(af.country,','),''), ifnull(concat(af.postal_code,','),''), ifnull(concat(af.phone,','),''), ifnull(concat(af.fax,','),''))) SEPARATOR '|')) as `author_affiliation`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.web_view,','),''))) SEPARATOR '|')) as `web_view` from `author` as `au` left join `author_affiliation` as `af` on `au`.`author_id` = `af`.`author_id` where `au`.`chapter_id` = '13512' group by `au`.`author_id` order by `au`.`article_id` asc, `au`.`sequence` asc
      1.69msalphaeurekaselec_live_10_06_2022Author.php#86
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      • 13. app/Models/Author.php:86
      • 14. app/Http/Controllers/ChapterController.php:1411
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      1.45msalphaeurekaselec_live_10_06_2022ChapterController.php#1415
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
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      420μsalphaeurekaselec_live_10_06_2022ChapterController.php#1430
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      • 16. app/Http/Controllers/ChapterController.php:1430
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select count(*) as aggregate from `subject_ebook` as `se` inner join `ebook` as `e` on `e`.`ebook_id` = `se`.`ebook_id` inner join `ebook_volume` as `v` on `v`.`ebook_id` = `e`.`ebook_id` where subject_id IN (select subject_id FROM subject_ebook WHERE ebook_id=800) and se.ebook_id!=800 and v.ebook_status='1'
      1.26msalphaeurekaselec_live_10_06_2022Subject.php#238
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      • 16. app/Models/Subject.php:238
      • 17. app/Http/Controllers/ChapterController.php:1434
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      1.08msalphaeurekaselec_live_10_06_2022Subject.php#238
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      • 14. app/Models/Subject.php:238
      • 15. app/Http/Controllers/ChapterController.php:1434
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      450μsalphaeurekaselec_live_10_06_2022Subject.php#255
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      • 16. app/Models/Subject.php:255
      • 17. app/Http/Controllers/ChapterController.php:1435
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `e`.*, `a`.*, `y`.`year`, `e`.`ebook_volume_id` as `ebook_volume_id`, `a`.`ebook_volume_id` as `ebk_vol_id`, `e`.`ebook_id` as `ebk_ebook_id` from `ebook_volume` as `e` left join `author` as `a` on `e`.`ebook_volume_id` = `a`.`ebook_volume_id` left join `year` as `y` on `y`.`id` = `e`.`year_id` where `e`.`ebook_volume_id` = 2842 and `e`.`is_uploaded` = 1
      770μsalphaeurekaselec_live_10_06_2022EbookVolume.php#271
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      • 13. app/Models/EbookVolume.php:271
      • 14. app/Http/Controllers/ChapterController.php:1438
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) rcd from `ebook_volume` where `ebook_id` = 800 and ebook_volume_id <> 2842 limit 1
      400μsalphaeurekaselec_live_10_06_2022EbookVolume.php#999
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      • 14. app/Models/EbookVolume.php:999
      • 15. app/Http/Controllers/ChapterController.php:1462
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from ebook_access where content_type_id = '13512' and content_type = 'c' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      450μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1465
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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      400μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
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      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1478
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 2842) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 2842) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 2842)
      950μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1518
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 13512) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 13512) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 314349518 and j.to_ip >=314349518 )) and ((j.from_date <= 1740497790 and j.to_date >= 1740497790 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 13512)
      990μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 2842 and `b`.`banner_from_date` <= 1740497790 and `b`.`banner_to_date` >= 1740497790 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.61msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 2842
      • 3: 1740497790
      • 4: 1740497790
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='3100b62feda301ad942b3b3bf284dd1d'
      360μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Keywords
    1Keywords.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        Q64SoncmBGcxb1PGFDQlXhwwX4ViHmbQvKWJpTEk
        uc_cart_id
        3100b62feda301ad942b3b3bf284dd1d
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/13512" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/13512
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "cookie" => array:1 [ 0 => "wayfindertarget=eyJpdiI6IlM0UCt3OUpsV29sbWtxRnlEYWJmR1E9PSIsInZhbHVlIjoienZoSWpDVHNMSjhwS29sSDhaNEJNOU5Obnk2MGJOMGRVTjREWWVrdUpxND0iLCJtYWMiOiJkMmQ3OTRhNTBlOTE5ZjMzYWFlMmExNmYzNmI5YTZkNDk1ZTM3OGU3OTlmYjc4MTE4MmQzM2NlNzYzMjhiYjk4IiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6IlM0UCt3OUpsV29sbWtxRnlEYWJmR1E9PSIsInZhbHVlIjoienZoSWpDVHNMSjhwS29sSDhaNEJNOU5Obnk2MGJOMGRVTjREWWVrdUpxND0iLCJtYWMiOiJkMmQ3OTRhNTBlOTE5" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] ]
        request_cookies
        0 of 0
        array:1 [ "wayfindertarget" => null ]
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 25 Feb 2025 15:36:30 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImVSWTM0Vmd2ejZMdlF5WWVOVC9XSHc9PSIsInZhbHVlIjoibGRTSG56NVdEcXovVGpZTDN2QUI3NWJqek8zNWo1UjBCUUsrQkVTZmkxMU9wSlg4NFBHSUZSeExyMFFzYU5UaVlBUEViU2VHeGhHMlpSTEh1Ump0eXdCMWljSnRvWGdQanVvcGdNMWZqMENKM080UHJvZnlRK0lIK25ZR0lnMnUiLCJtYWMiOiIyZTEzMWVlOTE2MmMyOGM5YzYwMmQyYTViOGY4MWUxMTY1MjQ5YWRmODhkYTBhNzYzMzBhYzAwMmI4OGUxZmRhIiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 03:36:30 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6ImVSWTM0Vmd2ejZMdlF5WWVOVC9XSHc9PSIsInZhbHVlIjoibGRTSG56NVdEcXovVGpZTDN2QUI3NWJqek8zNWo1UjBCUUsrQkVTZmkxMU9wSlg4NFBHSUZSeExyMFFzYU5UaVlBUEViU" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImZrdnVRVnJRWUxVRndrd1RUM2Mzdmc9PSIsInZhbHVlIjoiWWYyMlc0anNzTUNpaXJEVU00Z3lkc1EzMDBxNUlCWkZrcllYM0dEZzBOUUI0MEVmdG8ydEdQUGxOcHg0dmk5NFlwWEV4ZDdaSDlkUFBaZSszNDRhRDhhNHNCSWVEbmRSVWM3eDNyRDlWVVdUK0t3SDhybndMaXFsSndaeVM2dEsiLCJtYWMiOiJkNzRiMjkwODA2Y2EzZDU3NjcwZmQzYzU5ZWQ4ZTJlNjIyMGE4ZWU2YTA1NDdkMzViODVjNTdhMDYwZDFkMzJjIiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6ImZrdnVRVnJRWUxVRndrd1RUM2Mzdmc9PSIsInZhbHVlIjoiWWYyMlc0anNzTUNpaXJEVU00Z3lkc1EzMDBxNUlCWkZrcllYM0dEZzBOUUI0MEVmdG8ydEdQUGx" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImVSWTM0Vmd2ejZMdlF5WWVOVC9XSHc9PSIsInZhbHVlIjoibGRTSG56NVdEcXovVGpZTDN2QUI3NWJqek8zNWo1UjBCUUsrQkVTZmkxMU9wSlg4NFBHSUZSeExyMFFzYU5UaVlBUEViU2VHeGhHMlpSTEh1Ump0eXdCMWljSnRvWGdQanVvcGdNMWZqMENKM080UHJvZnlRK0lIK25ZR0lnMnUiLCJtYWMiOiIyZTEzMWVlOTE2MmMyOGM5YzYwMmQyYTViOGY4MWUxMTY1MjQ5YWRmODhkYTBhNzYzMzBhYzAwMmI4OGUxZmRhIiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 03:36:30 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6ImVSWTM0Vmd2ejZMdlF5WWVOVC9XSHc9PSIsInZhbHVlIjoibGRTSG56NVdEcXovVGpZTDN2QUI3NWJqek8zNWo1UjBCUUsrQkVTZmkxMU9wSlg4NFBHSUZSeExyMFFzYU5UaVlBUEViU" 1 => "alphaeurekaselectnet_session=eyJpdiI6ImZrdnVRVnJRWUxVRndrd1RUM2Mzdmc9PSIsInZhbHVlIjoiWWYyMlc0anNzTUNpaXJEVU00Z3lkc1EzMDBxNUlCWkZrcllYM0dEZzBOUUI0MEVmdG8ydEdQUGxOcHg0dmk5NFlwWEV4ZDdaSDlkUFBaZSszNDRhRDhhNHNCSWVEbmRSVWM3eDNyRDlWVVdUK0t3SDhybndMaXFsSndaeVM2dEsiLCJtYWMiOiJkNzRiMjkwODA2Y2EzZDU3NjcwZmQzYzU5ZWQ4ZTJlNjIyMGE4ZWU2YTA1NDdkMzViODVjNTdhMDYwZDFkMzJjIiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6ImZrdnVRVnJRWUxVRndrd1RUM2Mzdmc9PSIsInZhbHVlIjoiWWYyMlc0anNzTUNpaXJEVU00Z3lkc1EzMDBxNUlCWkZrcllYM0dEZzBOUUI0MEVmdG8ydEdQUGx" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "Q64SoncmBGcxb1PGFDQlXhwwX4ViHmbQvKWJpTEk" "uc_cart_id" => "3100b62feda301ad942b3b3bf284dd1d" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/13512" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 15:36:30GET/chapter/13512112183