div class=ts-pagebutton class=gotoPage data-page=1Page 1button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=1 data-page=1 class=ts-thumb lazyload alt=Page 1: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails1jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=2Page 2button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=2 data-page=2 class=ts-thumb lazyload alt=Page 2: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails2jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=3Page 3button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=3 data-page=3 class=ts-thumb lazyload alt=Page 3: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC 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src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails6jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=7Page 7button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=7 data-page=7 class=ts-thumb lazyload alt=Page 7: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails7jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=8Page 8button div 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between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails9jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=10Page 10button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=10 data-page=10 class=ts-thumb lazyload alt=Page 10: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails10jpg width=140 height=200 divdivdiv 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we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsmxreader033viewer20220506065fadc13d15c5ed13000c32cfhtml5thumbnails12jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=13Page 13button div class=ts-imageimg data-url=characterizations-based-on-conditional-in-this-section-first-we-give-the-followinghtmlpage=13 data-page=13 class=ts-thumb lazyload alt=Page 13: Characterizations based on conditional expectations · In this section first we give the following characterization theorem based on a relationship between the conditional and failure loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC 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