LONDON — In her first video statement since she was nearly killed, a Pakistani schoolgirl shot by the Taliban remained defiant in arguing for the education of girls, saying she would keep up the campaign that led to the attack on her.

Speaking clearly on Monday, but with the left side of her face appearing rigid, 15-year-old Malala Yousufzai said she is ‘‘getting better, day by day’’ after undergoing weeks of treatment at a British hospital.